What is the Greatest Common Factor of 46979 and 46989?

Greatest common factor (GCF) of 46979 and 46989 is 1.

GCF(46979,46989) = 1

We will now calculate the prime factors of 46979 and 46989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46979 and 46989.

How to find the GCF of 46979 and 46989?

We will first find the prime factorization of 46979 and 46989. After we will calculate the factors of 46979 and 46989 and find the biggest common factor number .

Step-1: Prime Factorization of 46979

Prime factors of 46979 are 109, 431. Prime factorization of 46979 in exponential form is:

46979 = 109¹ × 431¹

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 46979

List of positive integer factors of 46979 that divides 46979 without a remainder.

1, 109, 431

Step-4: Factors of 46989

List of positive integer factors of 46989 that divides 46979 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 46979 and 46989. The biggest common factor number is the GCF number.
So the greatest common factor 46979 and 46989 is 1.

Also check out the Least Common Multiple of 46979 and 46989