What is the Greatest Common Factor of 65798 and 65807?

Greatest common factor (GCF) of 65798 and 65807 is 1.

GCF(65798,65807) = 1

We will now calculate the prime factors of 65798 and 65807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65798 and 65807.

How to find the GCF of 65798 and 65807?

We will first find the prime factorization of 65798 and 65807. After we will calculate the factors of 65798 and 65807 and find the biggest common factor number .

Step-1: Prime Factorization of 65798

Prime factors of 65798 are 2, 167, 197. Prime factorization of 65798 in exponential form is:

65798 = 2¹ × 167¹ × 197¹

Step-2: 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-3: Factors of 65798

List of positive integer factors of 65798 that divides 65798 without a remainder.

1, 2, 167, 197, 334, 394, 32899

Step-4: Factors of 65807

List of positive integer factors of 65807 that divides 65798 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65798 and 65807. The biggest common factor number is the GCF number.
So the greatest common factor 65798 and 65807 is 1.

Also check out the Least Common Multiple of 65798 and 65807