What is the Greatest Common Factor of 46989 and 46995?

Greatest common factor (GCF) of 46989 and 46995 is 3.

GCF(46989,46995) = 3

We will now calculate the prime factors of 46989 and 46995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46989 and 46995.

How to find the GCF of 46989 and 46995?

We will first find the prime factorization of 46989 and 46995. After we will calculate the factors of 46989 and 46995 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46995

Prime factors of 46995 are 3, 5, 13, 241. Prime factorization of 46995 in exponential form is:

46995 = 3¹ × 5¹ × 13¹ × 241¹

Step-3: Factors of 46989

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

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

Step-4: Factors of 46995

List of positive integer factors of 46995 that divides 46989 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 241, 723, 1205, 3133, 3615, 9399, 15665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46989 and 46995. The biggest common factor number is the GCF number.
So the greatest common factor 46989 and 46995 is 3.

Also check out the Least Common Multiple of 46989 and 46995