What is the Greatest Common Factor of 46954 and 46971?

Greatest common factor (GCF) of 46954 and 46971 is 17.

GCF(46954,46971) = 17

We will now calculate the prime factors of 46954 and 46971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46954 and 46971.

How to find the GCF of 46954 and 46971?

We will first find the prime factorization of 46954 and 46971. After we will calculate the factors of 46954 and 46971 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46971

Prime factors of 46971 are 3, 17, 307. Prime factorization of 46971 in exponential form is:

46971 = 3² × 17¹ × 307¹

Step-3: Factors of 46954

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

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

Step-4: Factors of 46971

List of positive integer factors of 46971 that divides 46954 without a remainder.

1, 3, 9, 17, 51, 153, 307, 921, 2763, 5219, 15657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46954 and 46971. The biggest common factor number is the GCF number.
So the greatest common factor 46954 and 46971 is 17.

Also check out the Least Common Multiple of 46954 and 46971