What is the Greatest Common Factor of 65265 and 65270?

Greatest common factor (GCF) of 65265 and 65270 is 5.

GCF(65265,65270) = 5

We will now calculate the prime factors of 65265 and 65270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65265 and 65270.

How to find the GCF of 65265 and 65270?

We will first find the prime factorization of 65265 and 65270. After we will calculate the factors of 65265 and 65270 and find the biggest common factor number .

Step-1: Prime Factorization of 65265

Prime factors of 65265 are 3, 5, 19, 229. Prime factorization of 65265 in exponential form is:

65265 = 3¹ × 5¹ × 19¹ × 229¹

Step-2: Prime Factorization of 65270

Prime factors of 65270 are 2, 5, 61, 107. Prime factorization of 65270 in exponential form is:

65270 = 2¹ × 5¹ × 61¹ × 107¹

Step-3: Factors of 65265

List of positive integer factors of 65265 that divides 65265 without a remainder.

1, 3, 5, 15, 19, 57, 95, 229, 285, 687, 1145, 3435, 4351, 13053, 21755

Step-4: Factors of 65270

List of positive integer factors of 65270 that divides 65265 without a remainder.

1, 2, 5, 10, 61, 107, 122, 214, 305, 535, 610, 1070, 6527, 13054, 32635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65265 and 65270. The biggest common factor number is the GCF number.
So the greatest common factor 65265 and 65270 is 5.

Also check out the Least Common Multiple of 65265 and 65270