What is the Greatest Common Factor of 65790 and 65808?

Greatest common factor (GCF) of 65790 and 65808 is 18.

GCF(65790,65808) = 18

We will now calculate the prime factors of 65790 and 65808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65790 and 65808.

How to find the GCF of 65790 and 65808?

We will first find the prime factorization of 65790 and 65808. After we will calculate the factors of 65790 and 65808 and find the biggest common factor number .

Step-1: Prime Factorization of 65790

Prime factors of 65790 are 2, 3, 5, 17, 43. Prime factorization of 65790 in exponential form is:

65790 = 2¹ × 3² × 5¹ × 17¹ × 43¹

Step-2: Prime Factorization of 65808

Prime factors of 65808 are 2, 3, 457. Prime factorization of 65808 in exponential form is:

65808 = 2⁴ × 3² × 457¹

Step-3: Factors of 65790

List of positive integer factors of 65790 that divides 65790 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 43, 45, 51, 85, 86, 90, 102, 129, 153, 170, 215, 255, 258, 306, 387, 430, 510, 645, 731, 765, 774, 1290, 1462, 1530, 1935, 2193, 3655, 3870, 4386, 6579, 7310, 10965, 13158, 21930, 32895

Step-4: Factors of 65808

List of positive integer factors of 65808 that divides 65790 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 457, 914, 1371, 1828, 2742, 3656, 4113, 5484, 7312, 8226, 10968, 16452, 21936, 32904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65790 and 65808. The biggest common factor number is the GCF number.
So the greatest common factor 65790 and 65808 is 18.

Also check out the Least Common Multiple of 65790 and 65808