What is the Greatest Common Factor of 49120 and 49137?

Greatest common factor (GCF) of 49120 and 49137 is 1.

GCF(49120,49137) = 1

We will now calculate the prime factors of 49120 and 49137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49120 and 49137.

How to find the GCF of 49120 and 49137?

We will first find the prime factorization of 49120 and 49137. After we will calculate the factors of 49120 and 49137 and find the biggest common factor number .

Step-1: Prime Factorization of 49120

Prime factors of 49120 are 2, 5, 307. Prime factorization of 49120 in exponential form is:

49120 = 2⁵ × 5¹ × 307¹

Step-2: Prime Factorization of 49137

Prime factors of 49137 are 3, 11, 1489. Prime factorization of 49137 in exponential form is:

49137 = 3¹ × 11¹ × 1489¹

Step-3: Factors of 49120

List of positive integer factors of 49120 that divides 49120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 307, 614, 1228, 1535, 2456, 3070, 4912, 6140, 9824, 12280, 24560

Step-4: Factors of 49137

List of positive integer factors of 49137 that divides 49120 without a remainder.

1, 3, 11, 33, 1489, 4467, 16379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49120 and 49137. The biggest common factor number is the GCF number.
So the greatest common factor 49120 and 49137 is 1.

Also check out the Least Common Multiple of 49120 and 49137