What is the Greatest Common Factor of 19572 and 19579?

Greatest common factor (GCF) of 19572 and 19579 is 7.

GCF(19572,19579) = 7

We will now calculate the prime factors of 19572 and 19579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19572 and 19579.

How to find the GCF of 19572 and 19579?

We will first find the prime factorization of 19572 and 19579. After we will calculate the factors of 19572 and 19579 and find the biggest common factor number .

Step-1: Prime Factorization of 19572

Prime factors of 19572 are 2, 3, 7, 233. Prime factorization of 19572 in exponential form is:

19572 = 2² × 3¹ × 7¹ × 233¹

Step-2: Prime Factorization of 19579

Prime factors of 19579 are 7, 2797. Prime factorization of 19579 in exponential form is:

19579 = 7¹ × 2797¹

Step-3: Factors of 19572

List of positive integer factors of 19572 that divides 19572 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 233, 466, 699, 932, 1398, 1631, 2796, 3262, 4893, 6524, 9786

Step-4: Factors of 19579

List of positive integer factors of 19579 that divides 19572 without a remainder.

1, 7, 2797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19572 and 19579. The biggest common factor number is the GCF number.
So the greatest common factor 19572 and 19579 is 7.

Also check out the Least Common Multiple of 19572 and 19579