What is the Greatest Common Factor of 49977 and 49992?

Greatest common factor (GCF) of 49977 and 49992 is 3.

GCF(49977,49992) = 3

We will now calculate the prime factors of 49977 and 49992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49977 and 49992.

How to find the GCF of 49977 and 49992?

We will first find the prime factorization of 49977 and 49992. After we will calculate the factors of 49977 and 49992 and find the biggest common factor number .

Step-1: Prime Factorization of 49977

Prime factors of 49977 are 3, 617. Prime factorization of 49977 in exponential form is:

49977 = 3⁴ × 617¹

Step-2: Prime Factorization of 49992

Prime factors of 49992 are 2, 3, 2083. Prime factorization of 49992 in exponential form is:

49992 = 2³ × 3¹ × 2083¹

Step-3: Factors of 49977

List of positive integer factors of 49977 that divides 49977 without a remainder.

1, 3, 9, 27, 81, 617, 1851, 5553, 16659

Step-4: Factors of 49992

List of positive integer factors of 49992 that divides 49977 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2083, 4166, 6249, 8332, 12498, 16664, 24996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49977 and 49992. The biggest common factor number is the GCF number.
So the greatest common factor 49977 and 49992 is 3.

Also check out the Least Common Multiple of 49977 and 49992