What is the Greatest Common Factor of 65475 and 65490?

Greatest common factor (GCF) of 65475 and 65490 is 15.

GCF(65475,65490) = 15

We will now calculate the prime factors of 65475 and 65490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65475 and 65490.

How to find the GCF of 65475 and 65490?

We will first find the prime factorization of 65475 and 65490. After we will calculate the factors of 65475 and 65490 and find the biggest common factor number .

Step-1: Prime Factorization of 65475

Prime factors of 65475 are 3, 5, 97. Prime factorization of 65475 in exponential form is:

65475 = 3³ × 5² × 97¹

Step-2: Prime Factorization of 65490

Prime factors of 65490 are 2, 3, 5, 37, 59. Prime factorization of 65490 in exponential form is:

65490 = 2¹ × 3¹ × 5¹ × 37¹ × 59¹

Step-3: Factors of 65475

List of positive integer factors of 65475 that divides 65475 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 97, 135, 225, 291, 485, 675, 873, 1455, 2425, 2619, 4365, 7275, 13095, 21825

Step-4: Factors of 65490

List of positive integer factors of 65490 that divides 65475 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 59, 74, 111, 118, 177, 185, 222, 295, 354, 370, 555, 590, 885, 1110, 1770, 2183, 4366, 6549, 10915, 13098, 21830, 32745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65475 and 65490. The biggest common factor number is the GCF number.
So the greatest common factor 65475 and 65490 is 15.

Also check out the Least Common Multiple of 65475 and 65490