What is the Greatest Common Factor of 70928 and 70934?

Greatest common factor (GCF) of 70928 and 70934 is 2.

GCF(70928,70934) = 2

We will now calculate the prime factors of 70928 and 70934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70928 and 70934.

How to find the GCF of 70928 and 70934?

We will first find the prime factorization of 70928 and 70934. After we will calculate the factors of 70928 and 70934 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 70934

Prime factors of 70934 are 2, 29, 1223. Prime factorization of 70934 in exponential form is:

70934 = 2¹ × 29¹ × 1223¹

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 70934

List of positive integer factors of 70934 that divides 70928 without a remainder.

1, 2, 29, 58, 1223, 2446, 35467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70928 and 70934. The biggest common factor number is the GCF number.
So the greatest common factor 70928 and 70934 is 2.

Also check out the Least Common Multiple of 70928 and 70934