What is the Greatest Common Factor of 6440 and 6450?

Greatest common factor (GCF) of 6440 and 6450 is 10.

GCF(6440,6450) = 10

We will now calculate the prime factors of 6440 and 6450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6440 and 6450.

How to find the GCF of 6440 and 6450?

We will first find the prime factorization of 6440 and 6450. After we will calculate the factors of 6440 and 6450 and find the biggest common factor number .

Step-1: Prime Factorization of 6440

Prime factors of 6440 are 2, 5, 7, 23. Prime factorization of 6440 in exponential form is:

6440 = 2³ × 5¹ × 7¹ × 23¹

Step-2: 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-3: Factors of 6440

List of positive integer factors of 6440 that divides 6440 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 23, 28, 35, 40, 46, 56, 70, 92, 115, 140, 161, 184, 230, 280, 322, 460, 644, 805, 920, 1288, 1610, 3220

Step-4: Factors of 6450

List of positive integer factors of 6450 that divides 6440 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6440 and 6450. The biggest common factor number is the GCF number.
So the greatest common factor 6440 and 6450 is 10.

Also check out the Least Common Multiple of 6440 and 6450