What is the Greatest Common Factor of 46926 and 46937?

Greatest common factor (GCF) of 46926 and 46937 is 11.

GCF(46926,46937) = 11

We will now calculate the prime factors of 46926 and 46937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46926 and 46937.

How to find the GCF of 46926 and 46937?

We will first find the prime factorization of 46926 and 46937. After we will calculate the factors of 46926 and 46937 and find the biggest common factor number .

Step-1: Prime Factorization of 46926

Prime factors of 46926 are 2, 3, 11, 79. Prime factorization of 46926 in exponential form is:

46926 = 2¹ × 3³ × 11¹ × 79¹

Step-2: Prime Factorization of 46937

Prime factors of 46937 are 11, 17, 251. Prime factorization of 46937 in exponential form is:

46937 = 11¹ × 17¹ × 251¹

Step-3: Factors of 46926

List of positive integer factors of 46926 that divides 46926 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 79, 99, 158, 198, 237, 297, 474, 594, 711, 869, 1422, 1738, 2133, 2607, 4266, 5214, 7821, 15642, 23463

Step-4: Factors of 46937

List of positive integer factors of 46937 that divides 46926 without a remainder.

1, 11, 17, 187, 251, 2761, 4267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46926 and 46937. The biggest common factor number is the GCF number.
So the greatest common factor 46926 and 46937 is 11.

Also check out the Least Common Multiple of 46926 and 46937