What is the Greatest Common Factor of 6300 and 6308?

Greatest common factor (GCF) of 6300 and 6308 is 4.

GCF(6300,6308) = 4

We will now calculate the prime factors of 6300 and 6308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6300 and 6308.

How to find the GCF of 6300 and 6308?

We will first find the prime factorization of 6300 and 6308. After we will calculate the factors of 6300 and 6308 and find the biggest common factor number .

Step-1: Prime Factorization of 6300

Prime factors of 6300 are 2, 3, 5, 7. Prime factorization of 6300 in exponential form is:

6300 = 2² × 3² × 5² × 7¹

Step-2: Prime Factorization of 6308

Prime factors of 6308 are 2, 19, 83. Prime factorization of 6308 in exponential form is:

6308 = 2² × 19¹ × 83¹

Step-3: Factors of 6300

List of positive integer factors of 6300 that divides 6300 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 50, 60, 63, 70, 75, 84, 90, 100, 105, 126, 140, 150, 175, 180, 210, 225, 252, 300, 315, 350, 420, 450, 525, 630, 700, 900, 1050, 1260, 1575, 2100, 3150

Step-4: Factors of 6308

List of positive integer factors of 6308 that divides 6300 without a remainder.

1, 2, 4, 19, 38, 76, 83, 166, 332, 1577, 3154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6300 and 6308. The biggest common factor number is the GCF number.
So the greatest common factor 6300 and 6308 is 4.

Also check out the Least Common Multiple of 6300 and 6308