What is the Greatest Common Factor of 70928 and 70937?

Greatest common factor (GCF) of 70928 and 70937 is 1.

GCF(70928,70937) = 1

We will now calculate the prime factors of 70928 and 70937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70928 and 70937.

How to find the GCF of 70928 and 70937?

We will first find the prime factorization of 70928 and 70937. After we will calculate the factors of 70928 and 70937 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 70937

Prime factors of 70937 are 70937. Prime factorization of 70937 in exponential form is:

70937 = 70937¹

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 70937

List of positive integer factors of 70937 that divides 70928 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70928 and 70937. The biggest common factor number is the GCF number.
So the greatest common factor 70928 and 70937 is 1.

Also check out the Least Common Multiple of 70928 and 70937