What is the Greatest Common Factor of 79574 and 79585?

Greatest common factor (GCF) of 79574 and 79585 is 11.

GCF(79574,79585) = 11

We will now calculate the prime factors of 79574 and 79585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79574 and 79585.

How to find the GCF of 79574 and 79585?

We will first find the prime factorization of 79574 and 79585. After we will calculate the factors of 79574 and 79585 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79585

Prime factors of 79585 are 5, 11, 1447. Prime factorization of 79585 in exponential form is:

79585 = 5¹ × 11¹ × 1447¹

Step-3: Factors of 79574

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

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

Step-4: Factors of 79585

List of positive integer factors of 79585 that divides 79574 without a remainder.

1, 5, 11, 55, 1447, 7235, 15917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79574 and 79585. The biggest common factor number is the GCF number.
So the greatest common factor 79574 and 79585 is 11.

Also check out the Least Common Multiple of 79574 and 79585