What is the Greatest Common Factor of 33996 and 34008?

Greatest common factor (GCF) of 33996 and 34008 is 12.

GCF(33996,34008) = 12

We will now calculate the prime factors of 33996 and 34008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33996 and 34008.

How to find the GCF of 33996 and 34008?

We will first find the prime factorization of 33996 and 34008. After we will calculate the factors of 33996 and 34008 and find the biggest common factor number .

Step-1: Prime Factorization of 33996

Prime factors of 33996 are 2, 3, 2833. Prime factorization of 33996 in exponential form is:

33996 = 2² × 3¹ × 2833¹

Step-2: 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-3: Factors of 33996

List of positive integer factors of 33996 that divides 33996 without a remainder.

1, 2, 3, 4, 6, 12, 2833, 5666, 8499, 11332, 16998

Step-4: Factors of 34008

List of positive integer factors of 34008 that divides 33996 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33996 and 34008. The biggest common factor number is the GCF number.
So the greatest common factor 33996 and 34008 is 12.

Also check out the Least Common Multiple of 33996 and 34008