What is the Greatest Common Factor of 49956 and 49976?

Greatest common factor (GCF) of 49956 and 49976 is 4.

GCF(49956,49976) = 4

We will now calculate the prime factors of 49956 and 49976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49956 and 49976.

How to find the GCF of 49956 and 49976?

We will first find the prime factorization of 49956 and 49976. After we will calculate the factors of 49956 and 49976 and find the biggest common factor number .

Step-1: Prime Factorization of 49956

Prime factors of 49956 are 2, 3, 23, 181. Prime factorization of 49956 in exponential form is:

49956 = 2² × 3¹ × 23¹ × 181¹

Step-2: Prime Factorization of 49976

Prime factors of 49976 are 2, 6247. Prime factorization of 49976 in exponential form is:

49976 = 2³ × 6247¹

Step-3: Factors of 49956

List of positive integer factors of 49956 that divides 49956 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 181, 276, 362, 543, 724, 1086, 2172, 4163, 8326, 12489, 16652, 24978

Step-4: Factors of 49976

List of positive integer factors of 49976 that divides 49956 without a remainder.

1, 2, 4, 8, 6247, 12494, 24988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49956 and 49976. The biggest common factor number is the GCF number.
So the greatest common factor 49956 and 49976 is 4.

Also check out the Least Common Multiple of 49956 and 49976