Answer :
Final answer:
The Greatest Common Factor (G.C.F) of 24 and 36 is determined by listing the prime factors of each number, finding the common factors, and then multiplying them, which gives the result as 12.
Explanation:
The Greatest Common Factor (G.C.F.) of two numbers is the largest number that can divide both numbers without leaving a remainder. In the case of 24 and 36, the G.C.F can be calculated as follows:
- List the prime factors of each number.
- Find the common prime factors.
- Multiply the common prime factors.
For 24, the prime factors are 2, 2, 2, and 3. For 36, the prime factors are 2, 2, 3, and 3. The common prime factors are two 2s and one 3. So, if we multiply these common prime factors (2 * 2 * 3), we get 12, which is the G.C.F of 24 and 36.
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36 | 2
18 | 2
9 | 3
3 | 3
1
24 | 2
12 | 2
6 | 2
3 | 3
1
Gcf(24, 36) = 2 * 3 * 2 = 12
Tip: To find gcf, you have to break numbers down into prime factors, and if there is 2 same numbers, you use that, and in getting gcf, you get 1 less, so only 1 number from 2.
18 | 2
9 | 3
3 | 3
1
24 | 2
12 | 2
6 | 2
3 | 3
1
Gcf(24, 36) = 2 * 3 * 2 = 12
Tip: To find gcf, you have to break numbers down into prime factors, and if there is 2 same numbers, you use that, and in getting gcf, you get 1 less, so only 1 number from 2.
