What is the Greatest Common Factor of 6391 and 6402?

Greatest common factor (GCF) of 6391 and 6402 is 11.

GCF(6391,6402) = 11

We will now calculate the prime factors of 6391 and 6402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6391 and 6402.

How to find the GCF of 6391 and 6402?

We will first find the prime factorization of 6391 and 6402. After we will calculate the factors of 6391 and 6402 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6402

Prime factors of 6402 are 2, 3, 11, 97. Prime factorization of 6402 in exponential form is:

6402 = 2¹ × 3¹ × 11¹ × 97¹

Step-3: Factors of 6391

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

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

Step-4: Factors of 6402

List of positive integer factors of 6402 that divides 6391 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 97, 194, 291, 582, 1067, 2134, 3201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6391 and 6402. The biggest common factor number is the GCF number.
So the greatest common factor 6391 and 6402 is 11.

Also check out the Least Common Multiple of 6391 and 6402