What is the Greatest Common Factor of 65491 and 65500?

Greatest common factor (GCF) of 65491 and 65500 is 1.

GCF(65491,65500) = 1

We will now calculate the prime factors of 65491 and 65500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65491 and 65500.

How to find the GCF of 65491 and 65500?

We will first find the prime factorization of 65491 and 65500. After we will calculate the factors of 65491 and 65500 and find the biggest common factor number .

Step-1: Prime Factorization of 65491

Prime factors of 65491 are 79, 829. Prime factorization of 65491 in exponential form is:

65491 = 79¹ × 829¹

Step-2: Prime Factorization of 65500

Prime factors of 65500 are 2, 5, 131. Prime factorization of 65500 in exponential form is:

65500 = 2² × 5³ × 131¹

Step-3: Factors of 65491

List of positive integer factors of 65491 that divides 65491 without a remainder.

1, 79, 829

Step-4: Factors of 65500

List of positive integer factors of 65500 that divides 65491 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 131, 250, 262, 500, 524, 655, 1310, 2620, 3275, 6550, 13100, 16375, 32750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65491 and 65500. The biggest common factor number is the GCF number.
So the greatest common factor 65491 and 65500 is 1.

Also check out the Least Common Multiple of 65491 and 65500