What is the Greatest Common Factor of 49360 and 49377?

Greatest common factor (GCF) of 49360 and 49377 is 1.

GCF(49360,49377) = 1

We will now calculate the prime factors of 49360 and 49377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49360 and 49377.

How to find the GCF of 49360 and 49377?

We will first find the prime factorization of 49360 and 49377. After we will calculate the factors of 49360 and 49377 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 49377

Prime factors of 49377 are 3, 109, 151. Prime factorization of 49377 in exponential form is:

49377 = 3¹ × 109¹ × 151¹

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 49377

List of positive integer factors of 49377 that divides 49360 without a remainder.

1, 3, 109, 151, 327, 453, 16459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49360 and 49377. The biggest common factor number is the GCF number.
So the greatest common factor 49360 and 49377 is 1.

Also check out the Least Common Multiple of 49360 and 49377