What is the Greatest Common Factor of 49972 and 49986?

Greatest common factor (GCF) of 49972 and 49986 is 2.

GCF(49972,49986) = 2

We will now calculate the prime factors of 49972 and 49986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49972 and 49986.

How to find the GCF of 49972 and 49986?

We will first find the prime factorization of 49972 and 49986. After we will calculate the factors of 49972 and 49986 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 49986

Prime factors of 49986 are 2, 3, 2777. Prime factorization of 49986 in exponential form is:

49986 = 2¹ × 3² × 2777¹

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 49986

List of positive integer factors of 49986 that divides 49972 without a remainder.

1, 2, 3, 6, 9, 18, 2777, 5554, 8331, 16662, 24993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49972 and 49986. The biggest common factor number is the GCF number.
So the greatest common factor 49972 and 49986 is 2.

Also check out the Least Common Multiple of 49972 and 49986