What is the Greatest Common Factor of 6380 and 6398?

Greatest common factor (GCF) of 6380 and 6398 is 2.

GCF(6380,6398) = 2

We will now calculate the prime factors of 6380 and 6398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6380 and 6398.

How to find the GCF of 6380 and 6398?

We will first find the prime factorization of 6380 and 6398. After we will calculate the factors of 6380 and 6398 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 6398

Prime factors of 6398 are 2, 7, 457. Prime factorization of 6398 in exponential form is:

6398 = 2¹ × 7¹ × 457¹

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 6398

List of positive integer factors of 6398 that divides 6380 without a remainder.

1, 2, 7, 14, 457, 914, 3199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6380 and 6398. The biggest common factor number is the GCF number.
So the greatest common factor 6380 and 6398 is 2.

Also check out the Least Common Multiple of 6380 and 6398