What is the Greatest Common Factor of 46937 and 46948?

Greatest common factor (GCF) of 46937 and 46948 is 11.

GCF(46937,46948) = 11

We will now calculate the prime factors of 46937 and 46948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46937 and 46948.

How to find the GCF of 46937 and 46948?

We will first find the prime factorization of 46937 and 46948. After we will calculate the factors of 46937 and 46948 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46948

Prime factors of 46948 are 2, 11, 97. Prime factorization of 46948 in exponential form is:

46948 = 2² × 11² × 97¹

Step-3: Factors of 46937

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

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

Step-4: Factors of 46948

List of positive integer factors of 46948 that divides 46937 without a remainder.

1, 2, 4, 11, 22, 44, 97, 121, 194, 242, 388, 484, 1067, 2134, 4268, 11737, 23474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46937 and 46948. The biggest common factor number is the GCF number.
So the greatest common factor 46937 and 46948 is 11.

Also check out the Least Common Multiple of 46937 and 46948