What is the Greatest Common Factor of 6550 and 6570?

Greatest common factor (GCF) of 6550 and 6570 is 10.

GCF(6550,6570) = 10

We will now calculate the prime factors of 6550 and 6570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6550 and 6570.

How to find the GCF of 6550 and 6570?

We will first find the prime factorization of 6550 and 6570. After we will calculate the factors of 6550 and 6570 and find the biggest common factor number .

Step-1: Prime Factorization of 6550

Prime factors of 6550 are 2, 5, 131. Prime factorization of 6550 in exponential form is:

6550 = 2¹ × 5² × 131¹

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 6550

List of positive integer factors of 6550 that divides 6550 without a remainder.

1, 2, 5, 10, 25, 50, 131, 262, 655, 1310, 3275

Step-4: Factors of 6570

List of positive integer factors of 6570 that divides 6550 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 6550 and 6570. The biggest common factor number is the GCF number.
So the greatest common factor 6550 and 6570 is 10.

Also check out the Least Common Multiple of 6550 and 6570