What is the Greatest Common Factor of 46937 and 46954?

Greatest common factor (GCF) of 46937 and 46954 is 17.

GCF(46937,46954) = 17

We will now calculate the prime factors of 46937 and 46954, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46937 and 46954.

How to find the GCF of 46937 and 46954?

We will first find the prime factorization of 46937 and 46954. After we will calculate the factors of 46937 and 46954 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 46954

Prime factors of 46954 are 2, 17, 1381. Prime factorization of 46954 in exponential form is:

46954 = 2¹ × 17¹ × 1381¹

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 46954

List of positive integer factors of 46954 that divides 46937 without a remainder.

1, 2, 17, 34, 1381, 2762, 23477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46937 and 46954. The biggest common factor number is the GCF number.
So the greatest common factor 46937 and 46954 is 17.

Also check out the Least Common Multiple of 46937 and 46954