Answer:
12
Explanation:
What is GCF(greatest common factor)?
The GCF of a, b is the largest positive number that divides both a and b without a remainder
Prime factors of a number are the prime numbers that when multiplied together result in the number
Prime factors of 24
24 = 2 x 12
12 = 3 x 4
4 = 2 x 2
So prime factorization of 24 are 2 x 3 x 2 x 2 = 2³ x 3
Prime factors of 60:
60 = 2 x 30
30 = 2 x 15
15 = 3 x 5
Prime factorization of 60: 2 x 2 x 3 x 5 = 2² x 3 x 5
Find the factors that are common to both 24 and 60:
2² and 3
2² x 3 = 4 x 3 = 12
So the GCF is 12
This is the greatest number that can divide 24 and 60 without a remainder