What is the Greatest Common Factor of 65596 and 65608?

Greatest common factor (GCF) of 65596 and 65608 is 4.

GCF(65596,65608) = 4

We will now calculate the prime factors of 65596 and 65608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65596 and 65608.

How to find the GCF of 65596 and 65608?

We will first find the prime factorization of 65596 and 65608. After we will calculate the factors of 65596 and 65608 and find the biggest common factor number .

Step-1: Prime Factorization of 65596

Prime factors of 65596 are 2, 23, 31. Prime factorization of 65596 in exponential form is:

65596 = 2² × 23² × 31¹

Step-2: Prime Factorization of 65608

Prime factors of 65608 are 2, 59, 139. Prime factorization of 65608 in exponential form is:

65608 = 2³ × 59¹ × 139¹

Step-3: Factors of 65596

List of positive integer factors of 65596 that divides 65596 without a remainder.

1, 2, 4, 23, 31, 46, 62, 92, 124, 529, 713, 1058, 1426, 2116, 2852, 16399, 32798

Step-4: Factors of 65608

List of positive integer factors of 65608 that divides 65596 without a remainder.

1, 2, 4, 8, 59, 118, 139, 236, 278, 472, 556, 1112, 8201, 16402, 32804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65596 and 65608. The biggest common factor number is the GCF number.
So the greatest common factor 65596 and 65608 is 4.

Also check out the Least Common Multiple of 65596 and 65608