What is the Greatest Common Factor of 66405 and 66420?

Greatest common factor (GCF) of 66405 and 66420 is 15.

GCF(66405,66420) = 15

We will now calculate the prime factors of 66405 and 66420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66405 and 66420.

How to find the GCF of 66405 and 66420?

We will first find the prime factorization of 66405 and 66420. After we will calculate the factors of 66405 and 66420 and find the biggest common factor number .

Step-1: Prime Factorization of 66405

Prime factors of 66405 are 3, 5, 19, 233. Prime factorization of 66405 in exponential form is:

66405 = 3¹ × 5¹ × 19¹ × 233¹

Step-2: Prime Factorization of 66420

Prime factors of 66420 are 2, 3, 5, 41. Prime factorization of 66420 in exponential form is:

66420 = 2² × 3⁴ × 5¹ × 41¹

Step-3: Factors of 66405

List of positive integer factors of 66405 that divides 66405 without a remainder.

1, 3, 5, 15, 19, 57, 95, 233, 285, 699, 1165, 3495, 4427, 13281, 22135

Step-4: Factors of 66420

List of positive integer factors of 66420 that divides 66405 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 41, 45, 54, 60, 81, 82, 90, 108, 123, 135, 162, 164, 180, 205, 246, 270, 324, 369, 405, 410, 492, 540, 615, 738, 810, 820, 1107, 1230, 1476, 1620, 1845, 2214, 2460, 3321, 3690, 4428, 5535, 6642, 7380, 11070, 13284, 16605, 22140, 33210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66405 and 66420. The biggest common factor number is the GCF number.
So the greatest common factor 66405 and 66420 is 15.

Also check out the Least Common Multiple of 66405 and 66420