What is the Greatest Common Factor of 60724 and 60728?

Greatest common factor (GCF) of 60724 and 60728 is 4.

GCF(60724,60728) = 4

We will now calculate the prime factors of 60724 and 60728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60724 and 60728.

How to find the GCF of 60724 and 60728?

We will first find the prime factorization of 60724 and 60728. After we will calculate the factors of 60724 and 60728 and find the biggest common factor number .

Step-1: Prime Factorization of 60724

Prime factors of 60724 are 2, 17, 19, 47. Prime factorization of 60724 in exponential form is:

60724 = 2² × 17¹ × 19¹ × 47¹

Step-2: Prime Factorization of 60728

Prime factors of 60728 are 2, 7591. Prime factorization of 60728 in exponential form is:

60728 = 2³ × 7591¹

Step-3: Factors of 60724

List of positive integer factors of 60724 that divides 60724 without a remainder.

1, 2, 4, 17, 19, 34, 38, 47, 68, 76, 94, 188, 323, 646, 799, 893, 1292, 1598, 1786, 3196, 3572, 15181, 30362

Step-4: Factors of 60728

List of positive integer factors of 60728 that divides 60724 without a remainder.

1, 2, 4, 8, 7591, 15182, 30364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60724 and 60728. The biggest common factor number is the GCF number.
So the greatest common factor 60724 and 60728 is 4.

Also check out the Least Common Multiple of 60724 and 60728