What is the Greatest Common Factor of 65638 and 65652?

Greatest common factor (GCF) of 65638 and 65652 is 2.

GCF(65638,65652) = 2

We will now calculate the prime factors of 65638 and 65652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65638 and 65652.

How to find the GCF of 65638 and 65652?

We will first find the prime factorization of 65638 and 65652. After we will calculate the factors of 65638 and 65652 and find the biggest common factor number .

Step-1: Prime Factorization of 65638

Prime factors of 65638 are 2, 37, 887. Prime factorization of 65638 in exponential form is:

65638 = 2¹ × 37¹ × 887¹

Step-2: Prime Factorization of 65652

Prime factors of 65652 are 2, 3, 5471. Prime factorization of 65652 in exponential form is:

65652 = 2² × 3¹ × 5471¹

Step-3: Factors of 65638

List of positive integer factors of 65638 that divides 65638 without a remainder.

1, 2, 37, 74, 887, 1774, 32819

Step-4: Factors of 65652

List of positive integer factors of 65652 that divides 65638 without a remainder.

1, 2, 3, 4, 6, 12, 5471, 10942, 16413, 21884, 32826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65638 and 65652. The biggest common factor number is the GCF number.
So the greatest common factor 65638 and 65652 is 2.

Also check out the Least Common Multiple of 65638 and 65652