What is the Greatest Common Factor of 93126 and 93137?

Greatest common factor (GCF) of 93126 and 93137 is 11.

GCF(93126,93137) = 11

We will now calculate the prime factors of 93126 and 93137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93126 and 93137.

How to find the GCF of 93126 and 93137?

We will first find the prime factorization of 93126 and 93137. After we will calculate the factors of 93126 and 93137 and find the biggest common factor number .

Step-1: Prime Factorization of 93126

Prime factors of 93126 are 2, 3, 11, 17, 83. Prime factorization of 93126 in exponential form is:

93126 = 2¹ × 3¹ × 11¹ × 17¹ × 83¹

Step-2: Prime Factorization of 93137

Prime factors of 93137 are 11, 8467. Prime factorization of 93137 in exponential form is:

93137 = 11¹ × 8467¹

Step-3: Factors of 93126

List of positive integer factors of 93126 that divides 93126 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 83, 102, 166, 187, 249, 374, 498, 561, 913, 1122, 1411, 1826, 2739, 2822, 4233, 5478, 8466, 15521, 31042, 46563

Step-4: Factors of 93137

List of positive integer factors of 93137 that divides 93126 without a remainder.

1, 11, 8467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93126 and 93137. The biggest common factor number is the GCF number.
So the greatest common factor 93126 and 93137 is 11.

Also check out the Least Common Multiple of 93126 and 93137