What is the Greatest Common Factor of 70944 and 70956?

Greatest common factor (GCF) of 70944 and 70956 is 12.

GCF(70944,70956) = 12

We will now calculate the prime factors of 70944 and 70956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70944 and 70956.

How to find the GCF of 70944 and 70956?

We will first find the prime factorization of 70944 and 70956. After we will calculate the factors of 70944 and 70956 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 70956

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

70956 = 2² × 3⁵ × 73¹

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 70956

List of positive integer factors of 70956 that divides 70944 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70944 and 70956. The biggest common factor number is the GCF number.
So the greatest common factor 70944 and 70956 is 12.

Also check out the Least Common Multiple of 70944 and 70956