What is the Greatest Common Factor of 2436 and 2454?

Greatest common factor (GCF) of 2436 and 2454 is 6.

GCF(2436,2454) = 6

We will now calculate the prime factors of 2436 and 2454, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2436 and 2454.

How to find the GCF of 2436 and 2454?

We will first find the prime factorization of 2436 and 2454. After we will calculate the factors of 2436 and 2454 and find the biggest common factor number .

Step-1: Prime Factorization of 2436

Prime factors of 2436 are 2, 3, 7, 29. Prime factorization of 2436 in exponential form is:

2436 = 2² × 3¹ × 7¹ × 29¹

Step-2: Prime Factorization of 2454

Prime factors of 2454 are 2, 3, 409. Prime factorization of 2454 in exponential form is:

2454 = 2¹ × 3¹ × 409¹

Step-3: Factors of 2436

List of positive integer factors of 2436 that divides 2436 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218

Step-4: Factors of 2454

List of positive integer factors of 2454 that divides 2436 without a remainder.

1, 2, 3, 6, 409, 818, 1227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2436 and 2454. The biggest common factor number is the GCF number.
So the greatest common factor 2436 and 2454 is 6.

Also check out the Least Common Multiple of 2436 and 2454