What is the Greatest Common Factor of 2492 and 2512?

Greatest common factor (GCF) of 2492 and 2512 is 4.

GCF(2492,2512) = 4

We will now calculate the prime factors of 2492 and 2512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2492 and 2512.

How to find the GCF of 2492 and 2512?

We will first find the prime factorization of 2492 and 2512. After we will calculate the factors of 2492 and 2512 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2512

Prime factors of 2512 are 2, 157. Prime factorization of 2512 in exponential form is:

2512 = 2⁴ × 157¹

Step-3: Factors of 2492

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

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

Step-4: Factors of 2512

List of positive integer factors of 2512 that divides 2492 without a remainder.

1, 2, 4, 8, 16, 157, 314, 628, 1256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2492 and 2512. The biggest common factor number is the GCF number.
So the greatest common factor 2492 and 2512 is 4.

Also check out the Least Common Multiple of 2492 and 2512