What is the Greatest Common Factor of 83564 and 83579?

Greatest common factor (GCF) of 83564 and 83579 is 1.

GCF(83564,83579) = 1

We will now calculate the prime factors of 83564 and 83579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83564 and 83579.

How to find the GCF of 83564 and 83579?

We will first find the prime factorization of 83564 and 83579. After we will calculate the factors of 83564 and 83579 and find the biggest common factor number .

Step-1: Prime Factorization of 83564

Prime factors of 83564 are 2, 13, 1607. Prime factorization of 83564 in exponential form is:

83564 = 2² × 13¹ × 1607¹

Step-2: Prime Factorization of 83579

Prime factors of 83579 are 83579. Prime factorization of 83579 in exponential form is:

83579 = 83579¹

Step-3: Factors of 83564

List of positive integer factors of 83564 that divides 83564 without a remainder.

1, 2, 4, 13, 26, 52, 1607, 3214, 6428, 20891, 41782

Step-4: Factors of 83579

List of positive integer factors of 83579 that divides 83564 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83564 and 83579. The biggest common factor number is the GCF number.
So the greatest common factor 83564 and 83579 is 1.

Also check out the Least Common Multiple of 83564 and 83579