What is the Greatest Common Factor of 6450 and 6465?

Greatest common factor (GCF) of 6450 and 6465 is 15.

GCF(6450,6465) = 15

We will now calculate the prime factors of 6450 and 6465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6450 and 6465.

How to find the GCF of 6450 and 6465?

We will first find the prime factorization of 6450 and 6465. After we will calculate the factors of 6450 and 6465 and find the biggest common factor number .

Step-1: Prime Factorization of 6450

Prime factors of 6450 are 2, 3, 5, 43. Prime factorization of 6450 in exponential form is:

6450 = 2¹ × 3¹ × 5² × 43¹

Step-2: 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-3: Factors of 6450

List of positive integer factors of 6450 that divides 6450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 43, 50, 75, 86, 129, 150, 215, 258, 430, 645, 1075, 1290, 2150, 3225

Step-4: Factors of 6465

List of positive integer factors of 6465 that divides 6450 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6450 and 6465. The biggest common factor number is the GCF number.
So the greatest common factor 6450 and 6465 is 15.

Also check out the Least Common Multiple of 6450 and 6465