What is the Greatest Common Factor of 49364 and 49378?

Greatest common factor (GCF) of 49364 and 49378 is 14.

GCF(49364,49378) = 14

We will now calculate the prime factors of 49364 and 49378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49364 and 49378.

How to find the GCF of 49364 and 49378?

We will first find the prime factorization of 49364 and 49378. After we will calculate the factors of 49364 and 49378 and find the biggest common factor number .

Step-1: Prime Factorization of 49364

Prime factors of 49364 are 2, 7, 41, 43. Prime factorization of 49364 in exponential form is:

49364 = 2² × 7¹ × 41¹ × 43¹

Step-2: Prime Factorization of 49378

Prime factors of 49378 are 2, 7, 3527. Prime factorization of 49378 in exponential form is:

49378 = 2¹ × 7¹ × 3527¹

Step-3: Factors of 49364

List of positive integer factors of 49364 that divides 49364 without a remainder.

1, 2, 4, 7, 14, 28, 41, 43, 82, 86, 164, 172, 287, 301, 574, 602, 1148, 1204, 1763, 3526, 7052, 12341, 24682

Step-4: Factors of 49378

List of positive integer factors of 49378 that divides 49364 without a remainder.

1, 2, 7, 14, 3527, 7054, 24689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49364 and 49378. The biggest common factor number is the GCF number.
So the greatest common factor 49364 and 49378 is 14.

Also check out the Least Common Multiple of 49364 and 49378