What is the Greatest Common Factor of 65295 and 65310?

Greatest common factor (GCF) of 65295 and 65310 is 15.

GCF(65295,65310) = 15

We will now calculate the prime factors of 65295 and 65310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65295 and 65310.

How to find the GCF of 65295 and 65310?

We will first find the prime factorization of 65295 and 65310. After we will calculate the factors of 65295 and 65310 and find the biggest common factor number .

Step-1: Prime Factorization of 65295

Prime factors of 65295 are 3, 5, 1451. Prime factorization of 65295 in exponential form is:

65295 = 3² × 5¹ × 1451¹

Step-2: Prime Factorization of 65310

Prime factors of 65310 are 2, 3, 5, 7, 311. Prime factorization of 65310 in exponential form is:

65310 = 2¹ × 3¹ × 5¹ × 7¹ × 311¹

Step-3: Factors of 65295

List of positive integer factors of 65295 that divides 65295 without a remainder.

1, 3, 5, 9, 15, 45, 1451, 4353, 7255, 13059, 21765

Step-4: Factors of 65310

List of positive integer factors of 65310 that divides 65295 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 311, 622, 933, 1555, 1866, 2177, 3110, 4354, 4665, 6531, 9330, 10885, 13062, 21770, 32655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65295 and 65310. The biggest common factor number is the GCF number.
So the greatest common factor 65295 and 65310 is 15.

Also check out the Least Common Multiple of 65295 and 65310