What is the Greatest Common Factor of 79974 and 79992?

Greatest common factor (GCF) of 79974 and 79992 is 18.

GCF(79974,79992) = 18

We will now calculate the prime factors of 79974 and 79992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79974 and 79992.

How to find the GCF of 79974 and 79992?

We will first find the prime factorization of 79974 and 79992. After we will calculate the factors of 79974 and 79992 and find the biggest common factor number .

Step-1: Prime Factorization of 79974

Prime factors of 79974 are 2, 3, 1481. Prime factorization of 79974 in exponential form is:

79974 = 2¹ × 3³ × 1481¹

Step-2: Prime Factorization of 79992

Prime factors of 79992 are 2, 3, 11, 101. Prime factorization of 79992 in exponential form is:

79992 = 2³ × 3² × 11¹ × 101¹

Step-3: Factors of 79974

List of positive integer factors of 79974 that divides 79974 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1481, 2962, 4443, 8886, 13329, 26658, 39987

Step-4: Factors of 79992

List of positive integer factors of 79992 that divides 79974 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 101, 132, 198, 202, 264, 303, 396, 404, 606, 792, 808, 909, 1111, 1212, 1818, 2222, 2424, 3333, 3636, 4444, 6666, 7272, 8888, 9999, 13332, 19998, 26664, 39996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79974 and 79992. The biggest common factor number is the GCF number.
So the greatest common factor 79974 and 79992 is 18.

Also check out the Least Common Multiple of 79974 and 79992