What is the Greatest Common Factor of 12420 and 12435?

Greatest common factor (GCF) of 12420 and 12435 is 15.

GCF(12420,12435) = 15

We will now calculate the prime factors of 12420 and 12435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12420 and 12435.

How to find the GCF of 12420 and 12435?

We will first find the prime factorization of 12420 and 12435. After we will calculate the factors of 12420 and 12435 and find the biggest common factor number .

Step-1: Prime Factorization of 12420

Prime factors of 12420 are 2, 3, 5, 23. Prime factorization of 12420 in exponential form is:

12420 = 2² × 3³ × 5¹ × 23¹

Step-2: Prime Factorization of 12435

Prime factors of 12435 are 3, 5, 829. Prime factorization of 12435 in exponential form is:

12435 = 3¹ × 5¹ × 829¹

Step-3: Factors of 12420

List of positive integer factors of 12420 that divides 12420 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 27, 30, 36, 45, 46, 54, 60, 69, 90, 92, 108, 115, 135, 138, 180, 207, 230, 270, 276, 345, 414, 460, 540, 621, 690, 828, 1035, 1242, 1380, 2070, 2484, 3105, 4140, 6210

Step-4: Factors of 12435

List of positive integer factors of 12435 that divides 12420 without a remainder.

1, 3, 5, 15, 829, 2487, 4145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12420 and 12435. The biggest common factor number is the GCF number.
So the greatest common factor 12420 and 12435 is 15.

Also check out the Least Common Multiple of 12420 and 12435