What is the Greatest Common Factor of 73708 and 73724?

Greatest common factor (GCF) of 73708 and 73724 is 4.

GCF(73708,73724) = 4

We will now calculate the prime factors of 73708 and 73724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73708 and 73724.

How to find the GCF of 73708 and 73724?

We will first find the prime factorization of 73708 and 73724. After we will calculate the factors of 73708 and 73724 and find the biggest common factor number .

Step-1: Prime Factorization of 73708

Prime factors of 73708 are 2, 18427. Prime factorization of 73708 in exponential form is:

73708 = 2² × 18427¹

Step-2: Prime Factorization of 73724

Prime factors of 73724 are 2, 7, 2633. Prime factorization of 73724 in exponential form is:

73724 = 2² × 7¹ × 2633¹

Step-3: Factors of 73708

List of positive integer factors of 73708 that divides 73708 without a remainder.

1, 2, 4, 18427, 36854

Step-4: Factors of 73724

List of positive integer factors of 73724 that divides 73708 without a remainder.

1, 2, 4, 7, 14, 28, 2633, 5266, 10532, 18431, 36862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73708 and 73724. The biggest common factor number is the GCF number.
So the greatest common factor 73708 and 73724 is 4.

Also check out the Least Common Multiple of 73708 and 73724