What is the Greatest Common Factor of 71564 and 71584?

Greatest common factor (GCF) of 71564 and 71584 is 4.

GCF(71564,71584) = 4

We will now calculate the prime factors of 71564 and 71584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71564 and 71584.

How to find the GCF of 71564 and 71584?

We will first find the prime factorization of 71564 and 71584. After we will calculate the factors of 71564 and 71584 and find the biggest common factor number .

Step-1: Prime Factorization of 71564

Prime factors of 71564 are 2, 17891. Prime factorization of 71564 in exponential form is:

71564 = 2² × 17891¹

Step-2: Prime Factorization of 71584

Prime factors of 71584 are 2, 2237. Prime factorization of 71584 in exponential form is:

71584 = 2⁵ × 2237¹

Step-3: Factors of 71564

List of positive integer factors of 71564 that divides 71564 without a remainder.

1, 2, 4, 17891, 35782

Step-4: Factors of 71584

List of positive integer factors of 71584 that divides 71564 without a remainder.

1, 2, 4, 8, 16, 32, 2237, 4474, 8948, 17896, 35792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71564 and 71584. The biggest common factor number is the GCF number.
So the greatest common factor 71564 and 71584 is 4.

Also check out the Least Common Multiple of 71564 and 71584