What is the Greatest Common Factor of 79977 and 79992?

Greatest common factor (GCF) of 79977 and 79992 is 3.

GCF(79977,79992) = 3

We will now calculate the prime factors of 79977 and 79992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79977 and 79992.

How to find the GCF of 79977 and 79992?

We will first find the prime factorization of 79977 and 79992. After we will calculate the factors of 79977 and 79992 and find the biggest common factor number .

Step-1: Prime Factorization of 79977

Prime factors of 79977 are 3, 53, 503. Prime factorization of 79977 in exponential form is:

79977 = 3¹ × 53¹ × 503¹

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 79977

List of positive integer factors of 79977 that divides 79977 without a remainder.

1, 3, 53, 159, 503, 1509, 26659

Step-4: Factors of 79992

List of positive integer factors of 79992 that divides 79977 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 79977 and 79992. The biggest common factor number is the GCF number.
So the greatest common factor 79977 and 79992 is 3.

Also check out the Least Common Multiple of 79977 and 79992