What is the Greatest Common Factor of 70928 and 70944?

Greatest common factor (GCF) of 70928 and 70944 is 16.

GCF(70928,70944) = 16

We will now calculate the prime factors of 70928 and 70944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70928 and 70944.

How to find the GCF of 70928 and 70944?

We will first find the prime factorization of 70928 and 70944. After we will calculate the factors of 70928 and 70944 and find the biggest common factor number .

Step-1: Prime Factorization of 70928

Prime factors of 70928 are 2, 11, 13, 31. Prime factorization of 70928 in exponential form is:

70928 = 2⁴ × 11¹ × 13¹ × 31¹

Step-2: 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-3: Factors of 70928

List of positive integer factors of 70928 that divides 70928 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 31, 44, 52, 62, 88, 104, 124, 143, 176, 208, 248, 286, 341, 403, 496, 572, 682, 806, 1144, 1364, 1612, 2288, 2728, 3224, 4433, 5456, 6448, 8866, 17732, 35464

Step-4: Factors of 70944

List of positive integer factors of 70944 that divides 70928 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70928 and 70944. The biggest common factor number is the GCF number.
So the greatest common factor 70928 and 70944 is 16.

Also check out the Least Common Multiple of 70928 and 70944