What is the Greatest Common Factor of 49126 and 49137?

Greatest common factor (GCF) of 49126 and 49137 is 11.

GCF(49126,49137) = 11

We will now calculate the prime factors of 49126 and 49137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49126 and 49137.

How to find the GCF of 49126 and 49137?

We will first find the prime factorization of 49126 and 49137. After we will calculate the factors of 49126 and 49137 and find the biggest common factor number .

Step-1: Prime Factorization of 49126

Prime factors of 49126 are 2, 7, 11, 29. Prime factorization of 49126 in exponential form is:

49126 = 2¹ × 7¹ × 11² × 29¹

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 49126

List of positive integer factors of 49126 that divides 49126 without a remainder.

1, 2, 7, 11, 14, 22, 29, 58, 77, 121, 154, 203, 242, 319, 406, 638, 847, 1694, 2233, 3509, 4466, 7018, 24563

Step-4: Factors of 49137

List of positive integer factors of 49137 that divides 49126 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49126 and 49137. The biggest common factor number is the GCF number.
So the greatest common factor 49126 and 49137 is 11.

Also check out the Least Common Multiple of 49126 and 49137