What is the Greatest Common Factor of 71944 and 71964?

Greatest common factor (GCF) of 71944 and 71964 is 4.

GCF(71944,71964) = 4

We will now calculate the prime factors of 71944 and 71964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71944 and 71964.

How to find the GCF of 71944 and 71964?

We will first find the prime factorization of 71944 and 71964. After we will calculate the factors of 71944 and 71964 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71964

Prime factors of 71964 are 2, 3, 1999. Prime factorization of 71964 in exponential form is:

71964 = 2² × 3² × 1999¹

Step-3: Factors of 71944

List of positive integer factors of 71944 that divides 71944 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

Step-4: Factors of 71964

List of positive integer factors of 71964 that divides 71944 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1999, 3998, 5997, 7996, 11994, 17991, 23988, 35982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71944 and 71964. The biggest common factor number is the GCF number.
So the greatest common factor 71944 and 71964 is 4.

Also check out the Least Common Multiple of 71944 and 71964