What is the Greatest Common Factor of 2478 and 2492?

Greatest common factor (GCF) of 2478 and 2492 is 14.

GCF(2478,2492) = 14

We will now calculate the prime factors of 2478 and 2492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2478 and 2492.

How to find the GCF of 2478 and 2492?

We will first find the prime factorization of 2478 and 2492. After we will calculate the factors of 2478 and 2492 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 2492

Prime factors of 2492 are 2, 7, 89. Prime factorization of 2492 in exponential form is:

2492 = 2² × 7¹ × 89¹

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 2492

List of positive integer factors of 2492 that divides 2478 without a remainder.

1, 2, 4, 7, 14, 28, 89, 178, 356, 623, 1246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2478 and 2492. The biggest common factor number is the GCF number.
So the greatest common factor 2478 and 2492 is 14.

Also check out the Least Common Multiple of 2478 and 2492