What is the Greatest Common Factor of 6420 and 6438?

Greatest common factor (GCF) of 6420 and 6438 is 6.

GCF(6420,6438) = 6

We will now calculate the prime factors of 6420 and 6438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6420 and 6438.

How to find the GCF of 6420 and 6438?

We will first find the prime factorization of 6420 and 6438. After we will calculate the factors of 6420 and 6438 and find the biggest common factor number .

Step-1: Prime Factorization of 6420

Prime factors of 6420 are 2, 3, 5, 107. Prime factorization of 6420 in exponential form is:

6420 = 2² × 3¹ × 5¹ × 107¹

Step-2: Prime Factorization of 6438

Prime factors of 6438 are 2, 3, 29, 37. Prime factorization of 6438 in exponential form is:

6438 = 2¹ × 3¹ × 29¹ × 37¹

Step-3: Factors of 6420

List of positive integer factors of 6420 that divides 6420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 107, 214, 321, 428, 535, 642, 1070, 1284, 1605, 2140, 3210

Step-4: Factors of 6438

List of positive integer factors of 6438 that divides 6420 without a remainder.

1, 2, 3, 6, 29, 37, 58, 74, 87, 111, 174, 222, 1073, 2146, 3219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6420 and 6438. The biggest common factor number is the GCF number.
So the greatest common factor 6420 and 6438 is 6.

Also check out the Least Common Multiple of 6420 and 6438