What is the Greatest Common Factor of 70931 and 70940?

Greatest common factor (GCF) of 70931 and 70940 is 1.

GCF(70931,70940) = 1

We will now calculate the prime factors of 70931 and 70940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70931 and 70940.

How to find the GCF of 70931 and 70940?

We will first find the prime factorization of 70931 and 70940. After we will calculate the factors of 70931 and 70940 and find the biggest common factor number .

Step-1: Prime Factorization of 70931

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

70931 = 7¹ × 10133¹

Step-2: Prime Factorization of 70940

Prime factors of 70940 are 2, 5, 3547. Prime factorization of 70940 in exponential form is:

70940 = 2² × 5¹ × 3547¹

Step-3: Factors of 70931

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

1, 7, 10133

Step-4: Factors of 70940

List of positive integer factors of 70940 that divides 70931 without a remainder.

1, 2, 4, 5, 10, 20, 3547, 7094, 14188, 17735, 35470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70931 and 70940. The biggest common factor number is the GCF number.
So the greatest common factor 70931 and 70940 is 1.

Also check out the Least Common Multiple of 70931 and 70940