What is the Greatest Common Factor of 65470 and 65475?

Greatest common factor (GCF) of 65470 and 65475 is 5.

GCF(65470,65475) = 5

We will now calculate the prime factors of 65470 and 65475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65470 and 65475.

How to find the GCF of 65470 and 65475?

We will first find the prime factorization of 65470 and 65475. After we will calculate the factors of 65470 and 65475 and find the biggest common factor number .

Step-1: Prime Factorization of 65470

Prime factors of 65470 are 2, 5, 6547. Prime factorization of 65470 in exponential form is:

65470 = 2¹ × 5¹ × 6547¹

Step-2: 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-3: Factors of 65470

List of positive integer factors of 65470 that divides 65470 without a remainder.

1, 2, 5, 10, 6547, 13094, 32735

Step-4: Factors of 65475

List of positive integer factors of 65475 that divides 65470 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65470 and 65475. The biggest common factor number is the GCF number.
So the greatest common factor 65470 and 65475 is 5.

Also check out the Least Common Multiple of 65470 and 65475