What is the Greatest Common Factor of 79553 and 79572?

Greatest common factor (GCF) of 79553 and 79572 is 19.

GCF(79553,79572) = 19

We will now calculate the prime factors of 79553 and 79572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79553 and 79572.

How to find the GCF of 79553 and 79572?

We will first find the prime factorization of 79553 and 79572. After we will calculate the factors of 79553 and 79572 and find the biggest common factor number .

Step-1: Prime Factorization of 79553

Prime factors of 79553 are 19, 53, 79. Prime factorization of 79553 in exponential form is:

79553 = 19¹ × 53¹ × 79¹

Step-2: Prime Factorization of 79572

Prime factors of 79572 are 2, 3, 19, 349. Prime factorization of 79572 in exponential form is:

79572 = 2² × 3¹ × 19¹ × 349¹

Step-3: Factors of 79553

List of positive integer factors of 79553 that divides 79553 without a remainder.

1, 19, 53, 79, 1007, 1501, 4187

Step-4: Factors of 79572

List of positive integer factors of 79572 that divides 79553 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 349, 698, 1047, 1396, 2094, 4188, 6631, 13262, 19893, 26524, 39786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79553 and 79572. The biggest common factor number is the GCF number.
So the greatest common factor 79553 and 79572 is 19.

Also check out the Least Common Multiple of 79553 and 79572