What is the Greatest Common Factor of 49977 and 49983?

Greatest common factor (GCF) of 49977 and 49983 is 3.

GCF(49977,49983) = 3

We will now calculate the prime factors of 49977 and 49983, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49977 and 49983.

How to find the GCF of 49977 and 49983?

We will first find the prime factorization of 49977 and 49983. After we will calculate the factors of 49977 and 49983 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 49983

Prime factors of 49983 are 3, 16661. Prime factorization of 49983 in exponential form is:

49983 = 3¹ × 16661¹

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 49983

List of positive integer factors of 49983 that divides 49977 without a remainder.

1, 3, 16661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49977 and 49983. The biggest common factor number is the GCF number.
So the greatest common factor 49977 and 49983 is 3.

Also check out the Least Common Multiple of 49977 and 49983