What is the Greatest Common Factor of 79563 and 79574?

Greatest common factor (GCF) of 79563 and 79574 is 11.

GCF(79563,79574) = 11

We will now calculate the prime factors of 79563 and 79574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79563 and 79574.

How to find the GCF of 79563 and 79574?

We will first find the prime factorization of 79563 and 79574. After we will calculate the factors of 79563 and 79574 and find the biggest common factor number .

Step-1: Prime Factorization of 79563

Prime factors of 79563 are 3, 11, 2411. Prime factorization of 79563 in exponential form is:

79563 = 3¹ × 11¹ × 2411¹

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 79563

List of positive integer factors of 79563 that divides 79563 without a remainder.

1, 3, 11, 33, 2411, 7233, 26521

Step-4: Factors of 79574

List of positive integer factors of 79574 that divides 79563 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79563 and 79574. The biggest common factor number is the GCF number.
So the greatest common factor 79563 and 79574 is 11.

Also check out the Least Common Multiple of 79563 and 79574