What is the Greatest Common Factor of 6420 and 6435?

Greatest common factor (GCF) of 6420 and 6435 is 15.

GCF(6420,6435) = 15

We will now calculate the prime factors of 6420 and 6435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6420 and 6435.

How to find the GCF of 6420 and 6435?

We will first find the prime factorization of 6420 and 6435. After we will calculate the factors of 6420 and 6435 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 6435

Prime factors of 6435 are 3, 5, 11, 13. Prime factorization of 6435 in exponential form is:

6435 = 3² × 5¹ × 11¹ × 13¹

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 6435

List of positive integer factors of 6435 that divides 6420 without a remainder.

1, 3, 5, 9, 11, 13, 15, 33, 39, 45, 55, 65, 99, 117, 143, 165, 195, 429, 495, 585, 715, 1287, 2145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6420 and 6435. The biggest common factor number is the GCF number.
So the greatest common factor 6420 and 6435 is 15.

Also check out the Least Common Multiple of 6420 and 6435