What is the Greatest Common Factor of 67000 and 67020?

Greatest common factor (GCF) of 67000 and 67020 is 20.

GCF(67000,67020) = 20

We will now calculate the prime factors of 67000 and 67020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67000 and 67020.

How to find the GCF of 67000 and 67020?

We will first find the prime factorization of 67000 and 67020. After we will calculate the factors of 67000 and 67020 and find the biggest common factor number .

Step-1: Prime Factorization of 67000

Prime factors of 67000 are 2, 5, 67. Prime factorization of 67000 in exponential form is:

67000 = 2³ × 5³ × 67¹

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 67000

List of positive integer factors of 67000 that divides 67000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 67, 100, 125, 134, 200, 250, 268, 335, 500, 536, 670, 1000, 1340, 1675, 2680, 3350, 6700, 8375, 13400, 16750, 33500

Step-4: Factors of 67020

List of positive integer factors of 67020 that divides 67000 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 67000 and 67020. The biggest common factor number is the GCF number.
So the greatest common factor 67000 and 67020 is 20.

Also check out the Least Common Multiple of 67000 and 67020