What is the Greatest Common Factor of 2478 and 2498?

Greatest common factor (GCF) of 2478 and 2498 is 2.

GCF(2478,2498) = 2

We will now calculate the prime factors of 2478 and 2498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2478 and 2498.

How to find the GCF of 2478 and 2498?

We will first find the prime factorization of 2478 and 2498. After we will calculate the factors of 2478 and 2498 and find the biggest common factor number .

Step-1: Prime Factorization of 2478

Prime factors of 2478 are 2, 3, 7, 59. Prime factorization of 2478 in exponential form is:

2478 = 2¹ × 3¹ × 7¹ × 59¹

Step-2: Prime Factorization of 2498

Prime factors of 2498 are 2, 1249. Prime factorization of 2498 in exponential form is:

2498 = 2¹ × 1249¹

Step-3: Factors of 2478

List of positive integer factors of 2478 that divides 2478 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239

Step-4: Factors of 2498

List of positive integer factors of 2498 that divides 2478 without a remainder.

1, 2, 1249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2478 and 2498. The biggest common factor number is the GCF number.
So the greatest common factor 2478 and 2498 is 2.

Also check out the Least Common Multiple of 2478 and 2498