What is the Greatest Common Factor of 6290 and 6305?

Greatest common factor (GCF) of 6290 and 6305 is 5.

GCF(6290,6305) = 5

We will now calculate the prime factors of 6290 and 6305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6290 and 6305.

How to find the GCF of 6290 and 6305?

We will first find the prime factorization of 6290 and 6305. After we will calculate the factors of 6290 and 6305 and find the biggest common factor number .

Step-1: Prime Factorization of 6290

Prime factors of 6290 are 2, 5, 17, 37. Prime factorization of 6290 in exponential form is:

6290 = 2¹ × 5¹ × 17¹ × 37¹

Step-2: Prime Factorization of 6305

Prime factors of 6305 are 5, 13, 97. Prime factorization of 6305 in exponential form is:

6305 = 5¹ × 13¹ × 97¹

Step-3: Factors of 6290

List of positive integer factors of 6290 that divides 6290 without a remainder.

1, 2, 5, 10, 17, 34, 37, 74, 85, 170, 185, 370, 629, 1258, 3145

Step-4: Factors of 6305

List of positive integer factors of 6305 that divides 6290 without a remainder.

1, 5, 13, 65, 97, 485, 1261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6290 and 6305. The biggest common factor number is the GCF number.
So the greatest common factor 6290 and 6305 is 5.

Also check out the Least Common Multiple of 6290 and 6305