What is the Greatest Common Factor of 79524 and 79530?

Greatest common factor (GCF) of 79524 and 79530 is 6.

GCF(79524,79530) = 6

We will now calculate the prime factors of 79524 and 79530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79524 and 79530.

How to find the GCF of 79524 and 79530?

We will first find the prime factorization of 79524 and 79530. After we will calculate the factors of 79524 and 79530 and find the biggest common factor number .

Step-1: Prime Factorization of 79524

Prime factors of 79524 are 2, 3, 47. Prime factorization of 79524 in exponential form is:

79524 = 2² × 3² × 47²

Step-2: Prime Factorization of 79530

Prime factors of 79530 are 2, 3, 5, 11, 241. Prime factorization of 79530 in exponential form is:

79530 = 2¹ × 3¹ × 5¹ × 11¹ × 241¹

Step-3: Factors of 79524

List of positive integer factors of 79524 that divides 79524 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692, 2209, 4418, 6627, 8836, 13254, 19881, 26508, 39762

Step-4: Factors of 79530

List of positive integer factors of 79530 that divides 79524 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 241, 330, 482, 723, 1205, 1446, 2410, 2651, 3615, 5302, 7230, 7953, 13255, 15906, 26510, 39765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79524 and 79530. The biggest common factor number is the GCF number.
So the greatest common factor 79524 and 79530 is 6.

Also check out the Least Common Multiple of 79524 and 79530