What is the Greatest Common Factor of 66420 and 66435?

Greatest common factor (GCF) of 66420 and 66435 is 15.

GCF(66420,66435) = 15

We will now calculate the prime factors of 66420 and 66435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66420 and 66435.

How to find the GCF of 66420 and 66435?

We will first find the prime factorization of 66420 and 66435. After we will calculate the factors of 66420 and 66435 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66435

Prime factors of 66435 are 3, 5, 43, 103. Prime factorization of 66435 in exponential form is:

66435 = 3¹ × 5¹ × 43¹ × 103¹

Step-3: Factors of 66420

List of positive integer factors of 66420 that divides 66420 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

Step-4: Factors of 66435

List of positive integer factors of 66435 that divides 66420 without a remainder.

1, 3, 5, 15, 43, 103, 129, 215, 309, 515, 645, 1545, 4429, 13287, 22145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66420 and 66435. The biggest common factor number is the GCF number.
So the greatest common factor 66420 and 66435 is 15.

Also check out the Least Common Multiple of 66420 and 66435