What is the Greatest Common Factor of 49356 and 49371?

Greatest common factor (GCF) of 49356 and 49371 is 3.

GCF(49356,49371) = 3

We will now calculate the prime factors of 49356 and 49371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49356 and 49371.

How to find the GCF of 49356 and 49371?

We will first find the prime factorization of 49356 and 49371. After we will calculate the factors of 49356 and 49371 and find the biggest common factor number .

Step-1: Prime Factorization of 49356

Prime factors of 49356 are 2, 3, 457. Prime factorization of 49356 in exponential form is:

49356 = 2² × 3³ × 457¹

Step-2: Prime Factorization of 49371

Prime factors of 49371 are 3, 7, 2351. Prime factorization of 49371 in exponential form is:

49371 = 3¹ × 7¹ × 2351¹

Step-3: Factors of 49356

List of positive integer factors of 49356 that divides 49356 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 457, 914, 1371, 1828, 2742, 4113, 5484, 8226, 12339, 16452, 24678

Step-4: Factors of 49371

List of positive integer factors of 49371 that divides 49356 without a remainder.

1, 3, 7, 21, 2351, 7053, 16457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49356 and 49371. The biggest common factor number is the GCF number.
So the greatest common factor 49356 and 49371 is 3.

Also check out the Least Common Multiple of 49356 and 49371