What is the Greatest Common Factor of 65808 and 65825?

Greatest common factor (GCF) of 65808 and 65825 is 1.

GCF(65808,65825) = 1

We will now calculate the prime factors of 65808 and 65825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65808 and 65825.

How to find the GCF of 65808 and 65825?

We will first find the prime factorization of 65808 and 65825. After we will calculate the factors of 65808 and 65825 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65825

Prime factors of 65825 are 5, 2633. Prime factorization of 65825 in exponential form is:

65825 = 5² × 2633¹

Step-3: Factors of 65808

List of positive integer factors of 65808 that divides 65808 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

Step-4: Factors of 65825

List of positive integer factors of 65825 that divides 65808 without a remainder.

1, 5, 25, 2633, 13165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65808 and 65825. The biggest common factor number is the GCF number.
So the greatest common factor 65808 and 65825 is 1.

Also check out the Least Common Multiple of 65808 and 65825