What is the Greatest Common Factor of 6465 and 6485?

Greatest common factor (GCF) of 6465 and 6485 is 5.

GCF(6465,6485) = 5

We will now calculate the prime factors of 6465 and 6485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6465 and 6485.

How to find the GCF of 6465 and 6485?

We will first find the prime factorization of 6465 and 6485. After we will calculate the factors of 6465 and 6485 and find the biggest common factor number .

Step-1: Prime Factorization of 6465

Prime factors of 6465 are 3, 5, 431. Prime factorization of 6465 in exponential form is:

6465 = 3¹ × 5¹ × 431¹

Step-2: Prime Factorization of 6485

Prime factors of 6485 are 5, 1297. Prime factorization of 6485 in exponential form is:

6485 = 5¹ × 1297¹

Step-3: Factors of 6465

List of positive integer factors of 6465 that divides 6465 without a remainder.

1, 3, 5, 15, 431, 1293, 2155

Step-4: Factors of 6485

List of positive integer factors of 6485 that divides 6465 without a remainder.

1, 5, 1297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6465 and 6485. The biggest common factor number is the GCF number.
So the greatest common factor 6465 and 6485 is 5.

Also check out the Least Common Multiple of 6465 and 6485