What is the Greatest Common Factor of 65922 and 65937?

Greatest common factor (GCF) of 65922 and 65937 is 3.

GCF(65922,65937) = 3

We will now calculate the prime factors of 65922 and 65937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65922 and 65937.

How to find the GCF of 65922 and 65937?

We will first find the prime factorization of 65922 and 65937. After we will calculate the factors of 65922 and 65937 and find the biggest common factor number .

Step-1: Prime Factorization of 65922

Prime factors of 65922 are 2, 3, 10987. Prime factorization of 65922 in exponential form is:

65922 = 2¹ × 3¹ × 10987¹

Step-2: Prime Factorization of 65937

Prime factors of 65937 are 3, 31, 709. Prime factorization of 65937 in exponential form is:

65937 = 3¹ × 31¹ × 709¹

Step-3: Factors of 65922

List of positive integer factors of 65922 that divides 65922 without a remainder.

1, 2, 3, 6, 10987, 21974, 32961

Step-4: Factors of 65937

List of positive integer factors of 65937 that divides 65922 without a remainder.

1, 3, 31, 93, 709, 2127, 21979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65922 and 65937. The biggest common factor number is the GCF number.
So the greatest common factor 65922 and 65937 is 3.

Also check out the Least Common Multiple of 65922 and 65937