What is the Greatest Common Factor of 79568 and 79574?

Greatest common factor (GCF) of 79568 and 79574 is 2.

GCF(79568,79574) = 2

We will now calculate the prime factors of 79568 and 79574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79568 and 79574.

How to find the GCF of 79568 and 79574?

We will first find the prime factorization of 79568 and 79574. After we will calculate the factors of 79568 and 79574 and find the biggest common factor number .

Step-1: Prime Factorization of 79568

Prime factors of 79568 are 2, 4973. Prime factorization of 79568 in exponential form is:

79568 = 2⁴ × 4973¹

Step-2: Prime Factorization of 79574

Prime factors of 79574 are 2, 11, 3617. Prime factorization of 79574 in exponential form is:

79574 = 2¹ × 11¹ × 3617¹

Step-3: Factors of 79568

List of positive integer factors of 79568 that divides 79568 without a remainder.

1, 2, 4, 8, 16, 4973, 9946, 19892, 39784

Step-4: Factors of 79574

List of positive integer factors of 79574 that divides 79568 without a remainder.

1, 2, 11, 22, 3617, 7234, 39787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79568 and 79574. The biggest common factor number is the GCF number.
So the greatest common factor 79568 and 79574 is 2.

Also check out the Least Common Multiple of 79568 and 79574