What is the Greatest Common Factor of 65900 and 65907?

Greatest common factor (GCF) of 65900 and 65907 is 1.

GCF(65900,65907) = 1

We will now calculate the prime factors of 65900 and 65907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65900 and 65907.

How to find the GCF of 65900 and 65907?

We will first find the prime factorization of 65900 and 65907. After we will calculate the factors of 65900 and 65907 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 65907

Prime factors of 65907 are 3, 2441. Prime factorization of 65907 in exponential form is:

65907 = 3³ × 2441¹

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 65907

List of positive integer factors of 65907 that divides 65900 without a remainder.

1, 3, 9, 27, 2441, 7323, 21969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65900 and 65907. The biggest common factor number is the GCF number.
So the greatest common factor 65900 and 65907 is 1.

Also check out the Least Common Multiple of 65900 and 65907