What is the Greatest Common Factor of 34008 and 34021?

Greatest common factor (GCF) of 34008 and 34021 is 13.

GCF(34008,34021) = 13

We will now calculate the prime factors of 34008 and 34021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34008 and 34021.

How to find the GCF of 34008 and 34021?

We will first find the prime factorization of 34008 and 34021. After we will calculate the factors of 34008 and 34021 and find the biggest common factor number .

Step-1: Prime Factorization of 34008

Prime factors of 34008 are 2, 3, 13, 109. Prime factorization of 34008 in exponential form is:

34008 = 2³ × 3¹ × 13¹ × 109¹

Step-2: Prime Factorization of 34021

Prime factors of 34021 are 13, 2617. Prime factorization of 34021 in exponential form is:

34021 = 13¹ × 2617¹

Step-3: Factors of 34008

List of positive integer factors of 34008 that divides 34008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 109, 156, 218, 312, 327, 436, 654, 872, 1308, 1417, 2616, 2834, 4251, 5668, 8502, 11336, 17004

Step-4: Factors of 34021

List of positive integer factors of 34021 that divides 34008 without a remainder.

1, 13, 2617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34008 and 34021. The biggest common factor number is the GCF number.
So the greatest common factor 34008 and 34021 is 13.

Also check out the Least Common Multiple of 34008 and 34021