What is the Greatest Common Factor of 70924 and 70931?

Greatest common factor (GCF) of 70924 and 70931 is 7.

GCF(70924,70931) = 7

We will now calculate the prime factors of 70924 and 70931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70924 and 70931.

How to find the GCF of 70924 and 70931?

We will first find the prime factorization of 70924 and 70931. After we will calculate the factors of 70924 and 70931 and find the biggest common factor number .

Step-1: Prime Factorization of 70924

Prime factors of 70924 are 2, 7, 17, 149. Prime factorization of 70924 in exponential form is:

70924 = 2² × 7¹ × 17¹ × 149¹

Step-2: Prime Factorization of 70931

Prime factors of 70931 are 7, 10133. Prime factorization of 70931 in exponential form is:

70931 = 7¹ × 10133¹

Step-3: Factors of 70924

List of positive integer factors of 70924 that divides 70924 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 149, 238, 298, 476, 596, 1043, 2086, 2533, 4172, 5066, 10132, 17731, 35462

Step-4: Factors of 70931

List of positive integer factors of 70931 that divides 70924 without a remainder.

1, 7, 10133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70924 and 70931. The biggest common factor number is the GCF number.
So the greatest common factor 70924 and 70931 is 7.

Also check out the Least Common Multiple of 70924 and 70931