What is the Greatest Common Factor of 49336 and 49356?

Greatest common factor (GCF) of 49336 and 49356 is 4.

GCF(49336,49356) = 4

We will now calculate the prime factors of 49336 and 49356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49336 and 49356.

How to find the GCF of 49336 and 49356?

We will first find the prime factorization of 49336 and 49356. After we will calculate the factors of 49336 and 49356 and find the biggest common factor number .

Step-1: Prime Factorization of 49336

Prime factors of 49336 are 2, 7, 881. Prime factorization of 49336 in exponential form is:

49336 = 2³ × 7¹ × 881¹

Step-2: 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-3: Factors of 49336

List of positive integer factors of 49336 that divides 49336 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 881, 1762, 3524, 6167, 7048, 12334, 24668

Step-4: Factors of 49356

List of positive integer factors of 49356 that divides 49336 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49336 and 49356. The biggest common factor number is the GCF number.
So the greatest common factor 49336 and 49356 is 4.

Also check out the Least Common Multiple of 49336 and 49356