What is the Greatest Common Factor of 34989 and 34998?

Greatest common factor (GCF) of 34989 and 34998 is 3.

GCF(34989,34998) = 3

We will now calculate the prime factors of 34989 and 34998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34989 and 34998.

How to find the GCF of 34989 and 34998?

We will first find the prime factorization of 34989 and 34998. After we will calculate the factors of 34989 and 34998 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 34998

Prime factors of 34998 are 2, 3, 19, 307. Prime factorization of 34998 in exponential form is:

34998 = 2¹ × 3¹ × 19¹ × 307¹

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 34998

List of positive integer factors of 34998 that divides 34989 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 307, 614, 921, 1842, 5833, 11666, 17499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34989 and 34998. The biggest common factor number is the GCF number.
So the greatest common factor 34989 and 34998 is 3.

Also check out the Least Common Multiple of 34989 and 34998