What is the Greatest Common Factor of 65600 and 65620?

Greatest common factor (GCF) of 65600 and 65620 is 20.

GCF(65600,65620) = 20

We will now calculate the prime factors of 65600 and 65620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65600 and 65620.

How to find the GCF of 65600 and 65620?

We will first find the prime factorization of 65600 and 65620. After we will calculate the factors of 65600 and 65620 and find the biggest common factor number .

Step-1: Prime Factorization of 65600

Prime factors of 65600 are 2, 5, 41. Prime factorization of 65600 in exponential form is:

65600 = 2⁶ × 5² × 41¹

Step-2: Prime Factorization of 65620

Prime factors of 65620 are 2, 5, 17, 193. Prime factorization of 65620 in exponential form is:

65620 = 2² × 5¹ × 17¹ × 193¹

Step-3: Factors of 65600

List of positive integer factors of 65600 that divides 65600 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 41, 50, 64, 80, 82, 100, 160, 164, 200, 205, 320, 328, 400, 410, 656, 800, 820, 1025, 1312, 1600, 1640, 2050, 2624, 3280, 4100, 6560, 8200, 13120, 16400, 32800

Step-4: Factors of 65620

List of positive integer factors of 65620 that divides 65600 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 193, 340, 386, 772, 965, 1930, 3281, 3860, 6562, 13124, 16405, 32810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65600 and 65620. The biggest common factor number is the GCF number.
So the greatest common factor 65600 and 65620 is 20.

Also check out the Least Common Multiple of 65600 and 65620