What is the Greatest Common Factor of 71528 and 71542?

Greatest common factor (GCF) of 71528 and 71542 is 2.

GCF(71528,71542) = 2

We will now calculate the prime factors of 71528 and 71542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71528 and 71542.

How to find the GCF of 71528 and 71542?

We will first find the prime factorization of 71528 and 71542. After we will calculate the factors of 71528 and 71542 and find the biggest common factor number .

Step-1: Prime Factorization of 71528

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

71528 = 2³ × 8941¹

Step-2: Prime Factorization of 71542

Prime factors of 71542 are 2, 35771. Prime factorization of 71542 in exponential form is:

71542 = 2¹ × 35771¹

Step-3: Factors of 71528

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

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

Step-4: Factors of 71542

List of positive integer factors of 71542 that divides 71528 without a remainder.

1, 2, 35771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71528 and 71542. The biggest common factor number is the GCF number.
So the greatest common factor 71528 and 71542 is 2.

Also check out the Least Common Multiple of 71528 and 71542