What is the Greatest Common Factor of 71522 and 71528?

Greatest common factor (GCF) of 71522 and 71528 is 2.

GCF(71522,71528) = 2

We will now calculate the prime factors of 71522 and 71528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71522 and 71528.

How to find the GCF of 71522 and 71528?

We will first find the prime factorization of 71522 and 71528. After we will calculate the factors of 71522 and 71528 and find the biggest common factor number .

Step-1: Prime Factorization of 71522

Prime factors of 71522 are 2, 11, 3251. Prime factorization of 71522 in exponential form is:

71522 = 2¹ × 11¹ × 3251¹

Step-2: Prime Factorization of 71528

Prime factors of 71528 are 2, 8941. Prime factorization of 71528 in exponential form is:

71528 = 2³ × 8941¹

Step-3: Factors of 71522

List of positive integer factors of 71522 that divides 71522 without a remainder.

1, 2, 11, 22, 3251, 6502, 35761

Step-4: Factors of 71528

List of positive integer factors of 71528 that divides 71522 without a remainder.

1, 2, 4, 8, 8941, 17882, 35764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71522 and 71528. The biggest common factor number is the GCF number.
So the greatest common factor 71522 and 71528 is 2.

Also check out the Least Common Multiple of 71522 and 71528