What is the Greatest Common Factor of 46975 and 46989?

Greatest common factor (GCF) of 46975 and 46989 is 1.

GCF(46975,46989) = 1

We will now calculate the prime factors of 46975 and 46989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46975 and 46989.

How to find the GCF of 46975 and 46989?

We will first find the prime factorization of 46975 and 46989. After we will calculate the factors of 46975 and 46989 and find the biggest common factor number .

Step-1: Prime Factorization of 46975

Prime factors of 46975 are 5, 1879. Prime factorization of 46975 in exponential form is:

46975 = 5² × 1879¹

Step-2: Prime Factorization of 46989

Prime factors of 46989 are 3, 23, 227. Prime factorization of 46989 in exponential form is:

46989 = 3² × 23¹ × 227¹

Step-3: Factors of 46975

List of positive integer factors of 46975 that divides 46975 without a remainder.

1, 5, 25, 1879, 9395

Step-4: Factors of 46989

List of positive integer factors of 46989 that divides 46975 without a remainder.

1, 3, 9, 23, 69, 207, 227, 681, 2043, 5221, 15663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46975 and 46989. The biggest common factor number is the GCF number.
So the greatest common factor 46975 and 46989 is 1.

Also check out the Least Common Multiple of 46975 and 46989