What is the Greatest Common Factor of 65807 and 65821?

Greatest common factor (GCF) of 65807 and 65821 is 7.

GCF(65807,65821) = 7

We will now calculate the prime factors of 65807 and 65821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65807 and 65821.

How to find the GCF of 65807 and 65821?

We will first find the prime factorization of 65807 and 65821. After we will calculate the factors of 65807 and 65821 and find the biggest common factor number .

Step-1: Prime Factorization of 65807

Prime factors of 65807 are 7, 17, 79. Prime factorization of 65807 in exponential form is:

65807 = 7² × 17¹ × 79¹

Step-2: Prime Factorization of 65821

Prime factors of 65821 are 7, 9403. Prime factorization of 65821 in exponential form is:

65821 = 7¹ × 9403¹

Step-3: Factors of 65807

List of positive integer factors of 65807 that divides 65807 without a remainder.

1, 7, 17, 49, 79, 119, 553, 833, 1343, 3871, 9401

Step-4: Factors of 65821

List of positive integer factors of 65821 that divides 65807 without a remainder.

1, 7, 9403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65807 and 65821. The biggest common factor number is the GCF number.
So the greatest common factor 65807 and 65821 is 7.

Also check out the Least Common Multiple of 65807 and 65821