What is the Greatest Common Factor of 64942 and 64952?

Greatest common factor (GCF) of 64942 and 64952 is 2.

GCF(64942,64952) = 2

We will now calculate the prime factors of 64942 and 64952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64942 and 64952.

How to find the GCF of 64942 and 64952?

We will first find the prime factorization of 64942 and 64952. After we will calculate the factors of 64942 and 64952 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64952

Prime factors of 64952 are 2, 23, 353. Prime factorization of 64952 in exponential form is:

64952 = 2³ × 23¹ × 353¹

Step-3: Factors of 64942

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

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

Step-4: Factors of 64952

List of positive integer factors of 64952 that divides 64942 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 353, 706, 1412, 2824, 8119, 16238, 32476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64942 and 64952. The biggest common factor number is the GCF number.
So the greatest common factor 64942 and 64952 is 2.

Also check out the Least Common Multiple of 64942 and 64952