What is the greatest common factor for 28 and 24?
28 = 2*2*7
24 = 2*2*2*3
If a factor is found in both, write it down and stroke it off from the above.
Continue til finished.
I wrote down 2*2
To find the greatest common factor (GCF) of two numbers, you can use the method of prime factorization. Here's how you can find the GCF for 28 and 24:
1. Start by listing the prime factors of both numbers:
- The prime factorization of 28 is 2 * 2 * 7 (since 2 * 14 = 28, and 2 * 7 = 14).
- The prime factorization of 24 is 2 * 2 * 2 * 3 (since 2 * 12 = 24, and 2 * 2 * 3 = 12).
2. Identify the common prime factors: In this case, both numbers have two 2s as a common prime factor.
3. Multiply the common prime factors: Since the common prime factors are two 2s, the GCF is 2 * 2 = 4.
Therefore, the greatest common factor for 28 and 24 is 4.