What is the Greatest Common Factor of 64928 and 64942?

Greatest common factor (GCF) of 64928 and 64942 is 2.

GCF(64928,64942) = 2

We will now calculate the prime factors of 64928 and 64942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64928 and 64942.

How to find the GCF of 64928 and 64942?

We will first find the prime factorization of 64928 and 64942. After we will calculate the factors of 64928 and 64942 and find the biggest common factor number .

Step-1: Prime Factorization of 64928

Prime factors of 64928 are 2, 2029. Prime factorization of 64928 in exponential form is:

64928 = 2⁵ × 2029¹

Step-2: Prime Factorization of 64942

Prime factors of 64942 are 2, 19, 1709. Prime factorization of 64942 in exponential form is:

64942 = 2¹ × 19¹ × 1709¹

Step-3: Factors of 64928

List of positive integer factors of 64928 that divides 64928 without a remainder.

1, 2, 4, 8, 16, 32, 2029, 4058, 8116, 16232, 32464

Step-4: Factors of 64942

List of positive integer factors of 64942 that divides 64928 without a remainder.

1, 2, 19, 38, 1709, 3418, 32471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64928 and 64942. The biggest common factor number is the GCF number.
So the greatest common factor 64928 and 64942 is 2.

Also check out the Least Common Multiple of 64928 and 64942