What is the Greatest Common Factor of 71716 and 71732?

Greatest common factor (GCF) of 71716 and 71732 is 4.

GCF(71716,71732) = 4

We will now calculate the prime factors of 71716 and 71732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71716 and 71732.

How to find the GCF of 71716 and 71732?

We will first find the prime factorization of 71716 and 71732. After we will calculate the factors of 71716 and 71732 and find the biggest common factor number .

Step-1: Prime Factorization of 71716

Prime factors of 71716 are 2, 17929. Prime factorization of 71716 in exponential form is:

71716 = 2² × 17929¹

Step-2: Prime Factorization of 71732

Prime factors of 71732 are 2, 79, 227. Prime factorization of 71732 in exponential form is:

71732 = 2² × 79¹ × 227¹

Step-3: Factors of 71716

List of positive integer factors of 71716 that divides 71716 without a remainder.

1, 2, 4, 17929, 35858

Step-4: Factors of 71732

List of positive integer factors of 71732 that divides 71716 without a remainder.

1, 2, 4, 79, 158, 227, 316, 454, 908, 17933, 35866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71716 and 71732. The biggest common factor number is the GCF number.
So the greatest common factor 71716 and 71732 is 4.

Also check out the Least Common Multiple of 71716 and 71732