What is the Greatest Common Factor of 71920 and 71932?

Greatest common factor (GCF) of 71920 and 71932 is 4.

GCF(71920,71932) = 4

We will now calculate the prime factors of 71920 and 71932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71920 and 71932.

How to find the GCF of 71920 and 71932?

We will first find the prime factorization of 71920 and 71932. After we will calculate the factors of 71920 and 71932 and find the biggest common factor number .

Step-1: Prime Factorization of 71920

Prime factors of 71920 are 2, 5, 29, 31. Prime factorization of 71920 in exponential form is:

71920 = 2⁴ × 5¹ × 29¹ × 31¹

Step-2: Prime Factorization of 71932

Prime factors of 71932 are 2, 7, 367. Prime factorization of 71932 in exponential form is:

71932 = 2² × 7² × 367¹

Step-3: Factors of 71920

List of positive integer factors of 71920 that divides 71920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 31, 40, 58, 62, 80, 116, 124, 145, 155, 232, 248, 290, 310, 464, 496, 580, 620, 899, 1160, 1240, 1798, 2320, 2480, 3596, 4495, 7192, 8990, 14384, 17980, 35960

Step-4: Factors of 71932

List of positive integer factors of 71932 that divides 71920 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 367, 734, 1468, 2569, 5138, 10276, 17983, 35966

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71920 and 71932. The biggest common factor number is the GCF number.
So the greatest common factor 71920 and 71932 is 4.

Also check out the Least Common Multiple of 71920 and 71932