What is the Greatest Common Factor of 49972 and 49985?

Greatest common factor (GCF) of 49972 and 49985 is 13.

GCF(49972,49985) = 13

We will now calculate the prime factors of 49972 and 49985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49972 and 49985.

How to find the GCF of 49972 and 49985?

We will first find the prime factorization of 49972 and 49985. After we will calculate the factors of 49972 and 49985 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 49985

Prime factors of 49985 are 5, 13, 769. Prime factorization of 49985 in exponential form is:

49985 = 5¹ × 13¹ × 769¹

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 49985

List of positive integer factors of 49985 that divides 49972 without a remainder.

1, 5, 13, 65, 769, 3845, 9997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49972 and 49985. The biggest common factor number is the GCF number.
So the greatest common factor 49972 and 49985 is 13.

Also check out the Least Common Multiple of 49972 and 49985