What is the Greatest Common Factor of 6370 and 6380?

Greatest common factor (GCF) of 6370 and 6380 is 10.

GCF(6370,6380) = 10

We will now calculate the prime factors of 6370 and 6380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6370 and 6380.

How to find the GCF of 6370 and 6380?

We will first find the prime factorization of 6370 and 6380. After we will calculate the factors of 6370 and 6380 and find the biggest common factor number .

Step-1: Prime Factorization of 6370

Prime factors of 6370 are 2, 5, 7, 13. Prime factorization of 6370 in exponential form is:

6370 = 2¹ × 5¹ × 7² × 13¹

Step-2: 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-3: Factors of 6370

List of positive integer factors of 6370 that divides 6370 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 49, 65, 70, 91, 98, 130, 182, 245, 455, 490, 637, 910, 1274, 3185

Step-4: Factors of 6380

List of positive integer factors of 6380 that divides 6370 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6370 and 6380. The biggest common factor number is the GCF number.
So the greatest common factor 6370 and 6380 is 10.

Also check out the Least Common Multiple of 6370 and 6380