What is the Greatest Common Factor of 49338 and 49356?

Greatest common factor (GCF) of 49338 and 49356 is 18.

GCF(49338,49356) = 18

We will now calculate the prime factors of 49338 and 49356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49338 and 49356.

How to find the GCF of 49338 and 49356?

We will first find the prime factorization of 49338 and 49356. After we will calculate the factors of 49338 and 49356 and find the biggest common factor number .

Step-1: Prime Factorization of 49338

Prime factors of 49338 are 2, 3, 2741. Prime factorization of 49338 in exponential form is:

49338 = 2¹ × 3² × 2741¹

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 49338

List of positive integer factors of 49338 that divides 49338 without a remainder.

1, 2, 3, 6, 9, 18, 2741, 5482, 8223, 16446, 24669

Step-4: Factors of 49356

List of positive integer factors of 49356 that divides 49338 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 49338 and 49356. The biggest common factor number is the GCF number.
So the greatest common factor 49338 and 49356 is 18.

Also check out the Least Common Multiple of 49338 and 49356