What is the Greatest Common Factor of 65920 and 65938?

Greatest common factor (GCF) of 65920 and 65938 is 2.

GCF(65920,65938) = 2

We will now calculate the prime factors of 65920 and 65938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65920 and 65938.

How to find the GCF of 65920 and 65938?

We will first find the prime factorization of 65920 and 65938. After we will calculate the factors of 65920 and 65938 and find the biggest common factor number .

Step-1: Prime Factorization of 65920

Prime factors of 65920 are 2, 5, 103. Prime factorization of 65920 in exponential form is:

65920 = 2⁷ × 5¹ × 103¹

Step-2: Prime Factorization of 65938

Prime factors of 65938 are 2, 32969. Prime factorization of 65938 in exponential form is:

65938 = 2¹ × 32969¹

Step-3: Factors of 65920

List of positive integer factors of 65920 that divides 65920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 103, 128, 160, 206, 320, 412, 515, 640, 824, 1030, 1648, 2060, 3296, 4120, 6592, 8240, 13184, 16480, 32960

Step-4: Factors of 65938

List of positive integer factors of 65938 that divides 65920 without a remainder.

1, 2, 32969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65920 and 65938. The biggest common factor number is the GCF number.
So the greatest common factor 65920 and 65938 is 2.

Also check out the Least Common Multiple of 65920 and 65938