What is the Greatest Common Factor of 49256 and 49272?

Greatest common factor (GCF) of 49256 and 49272 is 8.

GCF(49256,49272) = 8

We will now calculate the prime factors of 49256 and 49272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49256 and 49272.

How to find the GCF of 49256 and 49272?

We will first find the prime factorization of 49256 and 49272. After we will calculate the factors of 49256 and 49272 and find the biggest common factor number .

Step-1: Prime Factorization of 49256

Prime factors of 49256 are 2, 47, 131. Prime factorization of 49256 in exponential form is:

49256 = 2³ × 47¹ × 131¹

Step-2: Prime Factorization of 49272

Prime factors of 49272 are 2, 3, 2053. Prime factorization of 49272 in exponential form is:

49272 = 2³ × 3¹ × 2053¹

Step-3: Factors of 49256

List of positive integer factors of 49256 that divides 49256 without a remainder.

1, 2, 4, 8, 47, 94, 131, 188, 262, 376, 524, 1048, 6157, 12314, 24628

Step-4: Factors of 49272

List of positive integer factors of 49272 that divides 49256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2053, 4106, 6159, 8212, 12318, 16424, 24636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49256 and 49272. The biggest common factor number is the GCF number.
So the greatest common factor 49256 and 49272 is 8.

Also check out the Least Common Multiple of 49256 and 49272