What is the Greatest Common Factor of 70944 and 70964?

Greatest common factor (GCF) of 70944 and 70964 is 4.

GCF(70944,70964) = 4

We will now calculate the prime factors of 70944 and 70964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70944 and 70964.

How to find the GCF of 70944 and 70964?

We will first find the prime factorization of 70944 and 70964. After we will calculate the factors of 70944 and 70964 and find the biggest common factor number .

Step-1: Prime Factorization of 70944

Prime factors of 70944 are 2, 3, 739. Prime factorization of 70944 in exponential form is:

70944 = 2⁵ × 3¹ × 739¹

Step-2: Prime Factorization of 70964

Prime factors of 70964 are 2, 113, 157. Prime factorization of 70964 in exponential form is:

70964 = 2² × 113¹ × 157¹

Step-3: Factors of 70944

List of positive integer factors of 70944 that divides 70944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 739, 1478, 2217, 2956, 4434, 5912, 8868, 11824, 17736, 23648, 35472

Step-4: Factors of 70964

List of positive integer factors of 70964 that divides 70944 without a remainder.

1, 2, 4, 113, 157, 226, 314, 452, 628, 17741, 35482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70944 and 70964. The biggest common factor number is the GCF number.
So the greatest common factor 70944 and 70964 is 4.

Also check out the Least Common Multiple of 70944 and 70964