What is the Greatest Common Factor of 71931 and 71944?

Greatest common factor (GCF) of 71931 and 71944 is 1.

GCF(71931,71944) = 1

We will now calculate the prime factors of 71931 and 71944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71931 and 71944.

How to find the GCF of 71931 and 71944?

We will first find the prime factorization of 71931 and 71944. After we will calculate the factors of 71931 and 71944 and find the biggest common factor number .

Step-1: Prime Factorization of 71931

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

71931 = 3¹ × 23977¹

Step-2: Prime Factorization of 71944

Prime factors of 71944 are 2, 17, 23. Prime factorization of 71944 in exponential form is:

71944 = 2³ × 17¹ × 23²

Step-3: Factors of 71931

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

1, 3, 23977

Step-4: Factors of 71944

List of positive integer factors of 71944 that divides 71931 without a remainder.

1, 2, 4, 8, 17, 23, 34, 46, 68, 92, 136, 184, 391, 529, 782, 1058, 1564, 2116, 3128, 4232, 8993, 17986, 35972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71931 and 71944. The biggest common factor number is the GCF number.
So the greatest common factor 71931 and 71944 is 1.

Also check out the Least Common Multiple of 71931 and 71944