What is the Greatest Common Factor of 49374 and 49392?

Greatest common factor (GCF) of 49374 and 49392 is 18.

GCF(49374,49392) = 18

We will now calculate the prime factors of 49374 and 49392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49374 and 49392.

How to find the GCF of 49374 and 49392?

We will first find the prime factorization of 49374 and 49392. After we will calculate the factors of 49374 and 49392 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49392

Prime factors of 49392 are 2, 3, 7. Prime factorization of 49392 in exponential form is:

49392 = 2⁴ × 3² × 7³

Step-3: Factors of 49374

List of positive integer factors of 49374 that divides 49374 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

Step-4: Factors of 49392

List of positive integer factors of 49392 that divides 49374 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 343, 392, 441, 504, 588, 686, 784, 882, 1008, 1029, 1176, 1372, 1764, 2058, 2352, 2744, 3087, 3528, 4116, 5488, 6174, 7056, 8232, 12348, 16464, 24696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49374 and 49392. The biggest common factor number is the GCF number.
So the greatest common factor 49374 and 49392 is 18.

Also check out the Least Common Multiple of 49374 and 49392