What is the Greatest Common Factor of 49360 and 49371?

Greatest common factor (GCF) of 49360 and 49371 is 1.

GCF(49360,49371) = 1

We will now calculate the prime factors of 49360 and 49371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49360 and 49371.

How to find the GCF of 49360 and 49371?

We will first find the prime factorization of 49360 and 49371. After we will calculate the factors of 49360 and 49371 and find the biggest common factor number .

Step-1: Prime Factorization of 49360

Prime factors of 49360 are 2, 5, 617. Prime factorization of 49360 in exponential form is:

49360 = 2⁴ × 5¹ × 617¹

Step-2: Prime Factorization of 49371

Prime factors of 49371 are 3, 7, 2351. Prime factorization of 49371 in exponential form is:

49371 = 3¹ × 7¹ × 2351¹

Step-3: Factors of 49360

List of positive integer factors of 49360 that divides 49360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 617, 1234, 2468, 3085, 4936, 6170, 9872, 12340, 24680

Step-4: Factors of 49371

List of positive integer factors of 49371 that divides 49360 without a remainder.

1, 3, 7, 21, 2351, 7053, 16457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49360 and 49371. The biggest common factor number is the GCF number.
So the greatest common factor 49360 and 49371 is 1.

Also check out the Least Common Multiple of 49360 and 49371