What is the Greatest Common Factor of 2460 and 2472?

Greatest common factor (GCF) of 2460 and 2472 is 12.

GCF(2460,2472) = 12

We will now calculate the prime factors of 2460 and 2472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2460 and 2472.

How to find the GCF of 2460 and 2472?

We will first find the prime factorization of 2460 and 2472. After we will calculate the factors of 2460 and 2472 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 2472

Prime factors of 2472 are 2, 3, 103. Prime factorization of 2472 in exponential form is:

2472 = 2³ × 3¹ × 103¹

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 2472

List of positive integer factors of 2472 that divides 2460 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 103, 206, 309, 412, 618, 824, 1236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2460 and 2472. The biggest common factor number is the GCF number.
So the greatest common factor 2460 and 2472 is 12.

Also check out the Least Common Multiple of 2460 and 2472