What is the Greatest Common Factor of 66420 and 66431?

Greatest common factor (GCF) of 66420 and 66431 is 1.

GCF(66420,66431) = 1

We will now calculate the prime factors of 66420 and 66431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66420 and 66431.

How to find the GCF of 66420 and 66431?

We will first find the prime factorization of 66420 and 66431. After we will calculate the factors of 66420 and 66431 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 66431

Prime factors of 66431 are 66431. Prime factorization of 66431 in exponential form is:

66431 = 66431¹

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 66431

List of positive integer factors of 66431 that divides 66420 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66420 and 66431. The biggest common factor number is the GCF number.
So the greatest common factor 66420 and 66431 is 1.

Also check out the Least Common Multiple of 66420 and 66431