What is the Greatest Common Factor of 65317 and 65331?

Greatest common factor (GCF) of 65317 and 65331 is 7.

GCF(65317,65331) = 7

We will now calculate the prime factors of 65317 and 65331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65317 and 65331.

How to find the GCF of 65317 and 65331?

We will first find the prime factorization of 65317 and 65331. After we will calculate the factors of 65317 and 65331 and find the biggest common factor number .

Step-1: Prime Factorization of 65317

Prime factors of 65317 are 7, 31, 43. Prime factorization of 65317 in exponential form is:

65317 = 7² × 31¹ × 43¹

Step-2: Prime Factorization of 65331

Prime factors of 65331 are 3, 7, 17, 61. Prime factorization of 65331 in exponential form is:

65331 = 3² × 7¹ × 17¹ × 61¹

Step-3: Factors of 65317

List of positive integer factors of 65317 that divides 65317 without a remainder.

1, 7, 31, 43, 49, 217, 301, 1333, 1519, 2107, 9331

Step-4: Factors of 65331

List of positive integer factors of 65331 that divides 65317 without a remainder.

1, 3, 7, 9, 17, 21, 51, 61, 63, 119, 153, 183, 357, 427, 549, 1037, 1071, 1281, 3111, 3843, 7259, 9333, 21777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65317 and 65331. The biggest common factor number is the GCF number.
So the greatest common factor 65317 and 65331 is 7.

Also check out the Least Common Multiple of 65317 and 65331