What is the Greatest Common Factor of 70956 and 70964?

Greatest common factor (GCF) of 70956 and 70964 is 4.

GCF(70956,70964) = 4

We will now calculate the prime factors of 70956 and 70964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70956 and 70964.

How to find the GCF of 70956 and 70964?

We will first find the prime factorization of 70956 and 70964. After we will calculate the factors of 70956 and 70964 and find the biggest common factor number .

Step-1: Prime Factorization of 70956

Prime factors of 70956 are 2, 3, 73. Prime factorization of 70956 in exponential form is:

70956 = 2² × 3⁵ × 73¹

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 70956

List of positive integer factors of 70956 that divides 70956 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 81, 108, 146, 162, 219, 243, 292, 324, 438, 486, 657, 876, 972, 1314, 1971, 2628, 3942, 5913, 7884, 11826, 17739, 23652, 35478

Step-4: Factors of 70964

List of positive integer factors of 70964 that divides 70956 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 70956 and 70964. The biggest common factor number is the GCF number.
So the greatest common factor 70956 and 70964 is 4.

Also check out the Least Common Multiple of 70956 and 70964