What is the Greatest Common Factor of 49356 and 49374?

Greatest common factor (GCF) of 49356 and 49374 is 18.

GCF(49356,49374) = 18

We will now calculate the prime factors of 49356 and 49374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49356 and 49374.

How to find the GCF of 49356 and 49374?

We will first find the prime factorization of 49356 and 49374. After we will calculate the factors of 49356 and 49374 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 49374

Prime factors of 49374 are 2, 3, 13, 211. Prime factorization of 49374 in exponential form is:

49374 = 2¹ × 3² × 13¹ × 211¹

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 49374

List of positive integer factors of 49374 that divides 49356 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 211, 234, 422, 633, 1266, 1899, 2743, 3798, 5486, 8229, 16458, 24687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49356 and 49374. The biggest common factor number is the GCF number.
So the greatest common factor 49356 and 49374 is 18.

Also check out the Least Common Multiple of 49356 and 49374