What is the Greatest Common Factor of 79524 and 79542?

Greatest common factor (GCF) of 79524 and 79542 is 18.

GCF(79524,79542) = 18

We will now calculate the prime factors of 79524 and 79542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79524 and 79542.

How to find the GCF of 79524 and 79542?

We will first find the prime factorization of 79524 and 79542. After we will calculate the factors of 79524 and 79542 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 79542

Prime factors of 79542 are 2, 3, 491. Prime factorization of 79542 in exponential form is:

79542 = 2¹ × 3⁴ × 491¹

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 79542

List of positive integer factors of 79542 that divides 79524 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 491, 982, 1473, 2946, 4419, 8838, 13257, 26514, 39771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79524 and 79542. The biggest common factor number is the GCF number.
So the greatest common factor 79524 and 79542 is 18.

Also check out the Least Common Multiple of 79524 and 79542