What is the Greatest Common Factor of 70912 and 70928?

Greatest common factor (GCF) of 70912 and 70928 is 16.

GCF(70912,70928) = 16

We will now calculate the prime factors of 70912 and 70928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70912 and 70928.

How to find the GCF of 70912 and 70928?

We will first find the prime factorization of 70912 and 70928. After we will calculate the factors of 70912 and 70928 and find the biggest common factor number .

Step-1: Prime Factorization of 70912

Prime factors of 70912 are 2, 277. Prime factorization of 70912 in exponential form is:

70912 = 2⁸ × 277¹

Step-2: 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-3: Factors of 70912

List of positive integer factors of 70912 that divides 70912 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 277, 554, 1108, 2216, 4432, 8864, 17728, 35456

Step-4: Factors of 70928

List of positive integer factors of 70928 that divides 70912 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70912 and 70928. The biggest common factor number is the GCF number.
So the greatest common factor 70912 and 70928 is 16.

Also check out the Least Common Multiple of 70912 and 70928