What is the Greatest Common Factor of 71919 and 71931?

Greatest common factor (GCF) of 71919 and 71931 is 3.

GCF(71919,71931) = 3

We will now calculate the prime factors of 71919 and 71931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71919 and 71931.

How to find the GCF of 71919 and 71931?

We will first find the prime factorization of 71919 and 71931. After we will calculate the factors of 71919 and 71931 and find the biggest common factor number .

Step-1: Prime Factorization of 71919

Prime factors of 71919 are 3, 61, 131. Prime factorization of 71919 in exponential form is:

71919 = 3² × 61¹ × 131¹

Step-2: Prime Factorization of 71931

Prime factors of 71931 are 3, 23977. Prime factorization of 71931 in exponential form is:

71931 = 3¹ × 23977¹

Step-3: Factors of 71919

List of positive integer factors of 71919 that divides 71919 without a remainder.

1, 3, 9, 61, 131, 183, 393, 549, 1179, 7991, 23973

Step-4: Factors of 71931

List of positive integer factors of 71931 that divides 71919 without a remainder.

1, 3, 23977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71919 and 71931. The biggest common factor number is the GCF number.
So the greatest common factor 71919 and 71931 is 3.

Also check out the Least Common Multiple of 71919 and 71931