What is the Greatest Common Factor of 67014 and 67020?

Greatest common factor (GCF) of 67014 and 67020 is 6.

GCF(67014,67020) = 6

We will now calculate the prime factors of 67014 and 67020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67014 and 67020.

How to find the GCF of 67014 and 67020?

We will first find the prime factorization of 67014 and 67020. After we will calculate the factors of 67014 and 67020 and find the biggest common factor number .

Step-1: Prime Factorization of 67014

Prime factors of 67014 are 2, 3, 17, 73. Prime factorization of 67014 in exponential form is:

67014 = 2¹ × 3³ × 17¹ × 73¹

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 67014

List of positive integer factors of 67014 that divides 67014 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 73, 102, 146, 153, 219, 306, 438, 459, 657, 918, 1241, 1314, 1971, 2482, 3723, 3942, 7446, 11169, 22338, 33507

Step-4: Factors of 67020

List of positive integer factors of 67020 that divides 67014 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 67014 and 67020. The biggest common factor number is the GCF number.
So the greatest common factor 67014 and 67020 is 6.

Also check out the Least Common Multiple of 67014 and 67020