What is the Greatest Common Factor of 67008 and 67020?

Greatest common factor (GCF) of 67008 and 67020 is 12.

GCF(67008,67020) = 12

We will now calculate the prime factors of 67008 and 67020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67008 and 67020.

How to find the GCF of 67008 and 67020?

We will first find the prime factorization of 67008 and 67020. After we will calculate the factors of 67008 and 67020 and find the biggest common factor number .

Step-1: Prime Factorization of 67008

Prime factors of 67008 are 2, 3, 349. Prime factorization of 67008 in exponential form is:

67008 = 2⁶ × 3¹ × 349¹

Step-2: Prime Factorization of 67020

Prime factors of 67020 are 2, 3, 5, 1117. Prime factorization of 67020 in exponential form is:

67020 = 2² × 3¹ × 5¹ × 1117¹

Step-3: Factors of 67008

List of positive integer factors of 67008 that divides 67008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 349, 698, 1047, 1396, 2094, 2792, 4188, 5584, 8376, 11168, 16752, 22336, 33504

Step-4: Factors of 67020

List of positive integer factors of 67020 that divides 67008 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1117, 2234, 3351, 4468, 5585, 6702, 11170, 13404, 16755, 22340, 33510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67008 and 67020. The biggest common factor number is the GCF number.
So the greatest common factor 67008 and 67020 is 12.

Also check out the Least Common Multiple of 67008 and 67020