What is the Greatest Common Factor of 70920 and 70928?

Greatest common factor (GCF) of 70920 and 70928 is 8.

GCF(70920,70928) = 8

We will now calculate the prime factors of 70920 and 70928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70920 and 70928.

How to find the GCF of 70920 and 70928?

We will first find the prime factorization of 70920 and 70928. After we will calculate the factors of 70920 and 70928 and find the biggest common factor number .

Step-1: Prime Factorization of 70920

Prime factors of 70920 are 2, 3, 5, 197. Prime factorization of 70920 in exponential form is:

70920 = 2³ × 3² × 5¹ × 197¹

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 70920

List of positive integer factors of 70920 that divides 70920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 197, 360, 394, 591, 788, 985, 1182, 1576, 1773, 1970, 2364, 2955, 3546, 3940, 4728, 5910, 7092, 7880, 8865, 11820, 14184, 17730, 23640, 35460

Step-4: Factors of 70928

List of positive integer factors of 70928 that divides 70920 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 70920 and 70928. The biggest common factor number is the GCF number.
So the greatest common factor 70920 and 70928 is 8.

Also check out the Least Common Multiple of 70920 and 70928