What is the Greatest Common Factor of 66420 and 66433?

Greatest common factor (GCF) of 66420 and 66433 is 1.

GCF(66420,66433) = 1

We will now calculate the prime factors of 66420 and 66433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66420 and 66433.

How to find the GCF of 66420 and 66433?

We will first find the prime factorization of 66420 and 66433. After we will calculate the factors of 66420 and 66433 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 66433

Prime factors of 66433 are 31, 2143. Prime factorization of 66433 in exponential form is:

66433 = 31¹ × 2143¹

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 66433

List of positive integer factors of 66433 that divides 66420 without a remainder.

1, 31, 2143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66420 and 66433. The biggest common factor number is the GCF number.
So the greatest common factor 66420 and 66433 is 1.

Also check out the Least Common Multiple of 66420 and 66433