What is the Greatest Common Factor of 6305 and 6320?

Greatest common factor (GCF) of 6305 and 6320 is 5.

GCF(6305,6320) = 5

We will now calculate the prime factors of 6305 and 6320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6305 and 6320.

How to find the GCF of 6305 and 6320?

We will first find the prime factorization of 6305 and 6320. After we will calculate the factors of 6305 and 6320 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6320

Prime factors of 6320 are 2, 5, 79. Prime factorization of 6320 in exponential form is:

6320 = 2⁴ × 5¹ × 79¹

Step-3: Factors of 6305

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

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

Step-4: Factors of 6320

List of positive integer factors of 6320 that divides 6305 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 79, 80, 158, 316, 395, 632, 790, 1264, 1580, 3160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6305 and 6320. The biggest common factor number is the GCF number.
So the greatest common factor 6305 and 6320 is 5.

Also check out the Least Common Multiple of 6305 and 6320