What is the Greatest Common Factor of 6380 and 6391?

Greatest common factor (GCF) of 6380 and 6391 is 11.

GCF(6380,6391) = 11

We will now calculate the prime factors of 6380 and 6391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6380 and 6391.

How to find the GCF of 6380 and 6391?

We will first find the prime factorization of 6380 and 6391. After we will calculate the factors of 6380 and 6391 and find the biggest common factor number .

Step-1: Prime Factorization of 6380

Prime factors of 6380 are 2, 5, 11, 29. Prime factorization of 6380 in exponential form is:

6380 = 2² × 5¹ × 11¹ × 29¹

Step-2: Prime Factorization of 6391

Prime factors of 6391 are 7, 11, 83. Prime factorization of 6391 in exponential form is:

6391 = 7¹ × 11¹ × 83¹

Step-3: Factors of 6380

List of positive integer factors of 6380 that divides 6380 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190

Step-4: Factors of 6391

List of positive integer factors of 6391 that divides 6380 without a remainder.

1, 7, 11, 77, 83, 581, 913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6380 and 6391. The biggest common factor number is the GCF number.
So the greatest common factor 6380 and 6391 is 11.

Also check out the Least Common Multiple of 6380 and 6391