What is the Greatest Common Factor of 65724 and 65738?

Greatest common factor (GCF) of 65724 and 65738 is 2.

GCF(65724,65738) = 2

We will now calculate the prime factors of 65724 and 65738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65724 and 65738.

How to find the GCF of 65724 and 65738?

We will first find the prime factorization of 65724 and 65738. After we will calculate the factors of 65724 and 65738 and find the biggest common factor number .

Step-1: Prime Factorization of 65724

Prime factors of 65724 are 2, 3, 5477. Prime factorization of 65724 in exponential form is:

65724 = 2² × 3¹ × 5477¹

Step-2: Prime Factorization of 65738

Prime factors of 65738 are 2, 32869. Prime factorization of 65738 in exponential form is:

65738 = 2¹ × 32869¹

Step-3: Factors of 65724

List of positive integer factors of 65724 that divides 65724 without a remainder.

1, 2, 3, 4, 6, 12, 5477, 10954, 16431, 21908, 32862

Step-4: Factors of 65738

List of positive integer factors of 65738 that divides 65724 without a remainder.

1, 2, 32869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65724 and 65738. The biggest common factor number is the GCF number.
So the greatest common factor 65724 and 65738 is 2.

Also check out the Least Common Multiple of 65724 and 65738