What is the Greatest Common Factor of 70928 and 70941?

Greatest common factor (GCF) of 70928 and 70941 is 13.

GCF(70928,70941) = 13

We will now calculate the prime factors of 70928 and 70941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70928 and 70941.

How to find the GCF of 70928 and 70941?

We will first find the prime factorization of 70928 and 70941. After we will calculate the factors of 70928 and 70941 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 70941

Prime factors of 70941 are 3, 13, 17, 107. Prime factorization of 70941 in exponential form is:

70941 = 3¹ × 13¹ × 17¹ × 107¹

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 70941

List of positive integer factors of 70941 that divides 70928 without a remainder.

1, 3, 13, 17, 39, 51, 107, 221, 321, 663, 1391, 1819, 4173, 5457, 23647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70928 and 70941. The biggest common factor number is the GCF number.
So the greatest common factor 70928 and 70941 is 13.

Also check out the Least Common Multiple of 70928 and 70941