What is the Greatest Common Factor of 49972 and 49992?

Greatest common factor (GCF) of 49972 and 49992 is 4.

GCF(49972,49992) = 4

We will now calculate the prime factors of 49972 and 49992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49972 and 49992.

How to find the GCF of 49972 and 49992?

We will first find the prime factorization of 49972 and 49992. After we will calculate the factors of 49972 and 49992 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 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 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 49992

List of positive integer factors of 49992 that divides 49972 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 49972 and 49992. The biggest common factor number is the GCF number.
So the greatest common factor 49972 and 49992 is 4.

Also check out the Least Common Multiple of 49972 and 49992