What is the Greatest Common Factor of 65900 and 65910?

Greatest common factor (GCF) of 65900 and 65910 is 10.

GCF(65900,65910) = 10

We will now calculate the prime factors of 65900 and 65910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65900 and 65910.

How to find the GCF of 65900 and 65910?

We will first find the prime factorization of 65900 and 65910. After we will calculate the factors of 65900 and 65910 and find the biggest common factor number .

Step-1: Prime Factorization of 65900

Prime factors of 65900 are 2, 5, 659. Prime factorization of 65900 in exponential form is:

65900 = 2² × 5² × 659¹

Step-2: Prime Factorization of 65910

Prime factors of 65910 are 2, 3, 5, 13. Prime factorization of 65910 in exponential form is:

65910 = 2¹ × 3¹ × 5¹ × 13³

Step-3: Factors of 65900

List of positive integer factors of 65900 that divides 65900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 659, 1318, 2636, 3295, 6590, 13180, 16475, 32950

Step-4: Factors of 65910

List of positive integer factors of 65910 that divides 65900 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 169, 195, 338, 390, 507, 845, 1014, 1690, 2197, 2535, 4394, 5070, 6591, 10985, 13182, 21970, 32955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65900 and 65910. The biggest common factor number is the GCF number.
So the greatest common factor 65900 and 65910 is 10.

Also check out the Least Common Multiple of 65900 and 65910