What is the Greatest Common Factor of 2460 and 2474?

Greatest common factor (GCF) of 2460 and 2474 is 2.

GCF(2460,2474) = 2

We will now calculate the prime factors of 2460 and 2474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2460 and 2474.

How to find the GCF of 2460 and 2474?

We will first find the prime factorization of 2460 and 2474. After we will calculate the factors of 2460 and 2474 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2474

Prime factors of 2474 are 2, 1237. Prime factorization of 2474 in exponential form is:

2474 = 2¹ × 1237¹

Step-3: Factors of 2460

List of positive integer factors of 2460 that divides 2460 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

Step-4: Factors of 2474

List of positive integer factors of 2474 that divides 2460 without a remainder.

1, 2, 1237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2460 and 2474. The biggest common factor number is the GCF number.
So the greatest common factor 2460 and 2474 is 2.

Also check out the Least Common Multiple of 2460 and 2474