What is the Greatest Common Factor of 49972 and 49977?

Greatest common factor (GCF) of 49972 and 49977 is 1.

GCF(49972,49977) = 1

We will now calculate the prime factors of 49972 and 49977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49972 and 49977.

How to find the GCF of 49972 and 49977?

We will first find the prime factorization of 49972 and 49977. After we will calculate the factors of 49972 and 49977 and find the biggest common factor number .

Step-1: Prime Factorization of 49972

Prime factors of 49972 are 2, 13, 31. Prime factorization of 49972 in exponential form is:

49972 = 2² × 13¹ × 31²

Step-2: Prime Factorization of 49977

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

49977 = 3⁴ × 617¹

Step-3: Factors of 49972

List of positive integer factors of 49972 that divides 49972 without a remainder.

1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806, 961, 1612, 1922, 3844, 12493, 24986

Step-4: Factors of 49977

List of positive integer factors of 49977 that divides 49972 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49972 and 49977. The biggest common factor number is the GCF number.
So the greatest common factor 49972 and 49977 is 1.

Also check out the Least Common Multiple of 49972 and 49977