What is the Greatest Common Factor of 71564 and 71579?

Greatest common factor (GCF) of 71564 and 71579 is 1.

GCF(71564,71579) = 1

We will now calculate the prime factors of 71564 and 71579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71564 and 71579.

How to find the GCF of 71564 and 71579?

We will first find the prime factorization of 71564 and 71579. After we will calculate the factors of 71564 and 71579 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 71579

Prime factors of 71579 are 31, 2309. Prime factorization of 71579 in exponential form is:

71579 = 31¹ × 2309¹

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 71579

List of positive integer factors of 71579 that divides 71564 without a remainder.

1, 31, 2309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71564 and 71579. The biggest common factor number is the GCF number.
So the greatest common factor 71564 and 71579 is 1.

Also check out the Least Common Multiple of 71564 and 71579