What is the Greatest Common Factor of 2454 and 2460?

Greatest common factor (GCF) of 2454 and 2460 is 6.

GCF(2454,2460) = 6

We will now calculate the prime factors of 2454 and 2460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2454 and 2460.

How to find the GCF of 2454 and 2460?

We will first find the prime factorization of 2454 and 2460. After we will calculate the factors of 2454 and 2460 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2460

Prime factors of 2460 are 2, 3, 5, 41. Prime factorization of 2460 in exponential form is:

2460 = 2² × 3¹ × 5¹ × 41¹

Step-3: Factors of 2454

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

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

Step-4: Factors of 2460

List of positive integer factors of 2460 that divides 2454 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 41, 60, 82, 123, 164, 205, 246, 410, 492, 615, 820, 1230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2454 and 2460. The biggest common factor number is the GCF number.
So the greatest common factor 2454 and 2460 is 6.

Also check out the Least Common Multiple of 2454 and 2460