What is the Greatest Common Factor of 34989 and 34995?

Greatest common factor (GCF) of 34989 and 34995 is 3.

GCF(34989,34995) = 3

We will now calculate the prime factors of 34989 and 34995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34989 and 34995.

How to find the GCF of 34989 and 34995?

We will first find the prime factorization of 34989 and 34995. After we will calculate the factors of 34989 and 34995 and find the biggest common factor number .

Step-1: Prime Factorization of 34989

Prime factors of 34989 are 3, 107, 109. Prime factorization of 34989 in exponential form is:

34989 = 3¹ × 107¹ × 109¹

Step-2: Prime Factorization of 34995

Prime factors of 34995 are 3, 5, 2333. Prime factorization of 34995 in exponential form is:

34995 = 3¹ × 5¹ × 2333¹

Step-3: Factors of 34989

List of positive integer factors of 34989 that divides 34989 without a remainder.

1, 3, 107, 109, 321, 327, 11663

Step-4: Factors of 34995

List of positive integer factors of 34995 that divides 34989 without a remainder.

1, 3, 5, 15, 2333, 6999, 11665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34989 and 34995. The biggest common factor number is the GCF number.
So the greatest common factor 34989 and 34995 is 3.

Also check out the Least Common Multiple of 34989 and 34995