What is the Greatest Common Factor of 34989 and 35008?

Greatest common factor (GCF) of 34989 and 35008 is 1.

GCF(34989,35008) = 1

We will now calculate the prime factors of 34989 and 35008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34989 and 35008.

How to find the GCF of 34989 and 35008?

We will first find the prime factorization of 34989 and 35008. After we will calculate the factors of 34989 and 35008 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 35008

Prime factors of 35008 are 2, 547. Prime factorization of 35008 in exponential form is:

35008 = 2⁶ × 547¹

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 35008

List of positive integer factors of 35008 that divides 34989 without a remainder.

1, 2, 4, 8, 16, 32, 64, 547, 1094, 2188, 4376, 8752, 17504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34989 and 35008. The biggest common factor number is the GCF number.
So the greatest common factor 34989 and 35008 is 1.

Also check out the Least Common Multiple of 34989 and 35008