What is the Greatest Common Factor of 66416 and 66420?

Greatest common factor (GCF) of 66416 and 66420 is 4.

GCF(66416,66420) = 4

We will now calculate the prime factors of 66416 and 66420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66416 and 66420.

How to find the GCF of 66416 and 66420?

We will first find the prime factorization of 66416 and 66420. After we will calculate the factors of 66416 and 66420 and find the biggest common factor number .

Step-1: Prime Factorization of 66416

Prime factors of 66416 are 2, 7, 593. Prime factorization of 66416 in exponential form is:

66416 = 2⁴ × 7¹ × 593¹

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 66416

List of positive integer factors of 66416 that divides 66416 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 593, 1186, 2372, 4151, 4744, 8302, 9488, 16604, 33208

Step-4: Factors of 66420

List of positive integer factors of 66420 that divides 66416 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 66416 and 66420. The biggest common factor number is the GCF number.
So the greatest common factor 66416 and 66420 is 4.

Also check out the Least Common Multiple of 66416 and 66420