What is the Greatest Common Factor of 6560 and 6570?

Greatest common factor (GCF) of 6560 and 6570 is 10.

GCF(6560,6570) = 10

We will now calculate the prime factors of 6560 and 6570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6560 and 6570.

How to find the GCF of 6560 and 6570?

We will first find the prime factorization of 6560 and 6570. After we will calculate the factors of 6560 and 6570 and find the biggest common factor number .

Step-1: Prime Factorization of 6560

Prime factors of 6560 are 2, 5, 41. Prime factorization of 6560 in exponential form is:

6560 = 2⁵ × 5¹ × 41¹

Step-2: Prime Factorization of 6570

Prime factors of 6570 are 2, 3, 5, 73. Prime factorization of 6570 in exponential form is:

6570 = 2¹ × 3² × 5¹ × 73¹

Step-3: Factors of 6560

List of positive integer factors of 6560 that divides 6560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 80, 82, 160, 164, 205, 328, 410, 656, 820, 1312, 1640, 3280

Step-4: Factors of 6570

List of positive integer factors of 6570 that divides 6560 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 73, 90, 146, 219, 365, 438, 657, 730, 1095, 1314, 2190, 3285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6560 and 6570. The biggest common factor number is the GCF number.
So the greatest common factor 6560 and 6570 is 10.

Also check out the Least Common Multiple of 6560 and 6570