What is the Greatest Common Factor of 2408 and 2426?

Greatest common factor (GCF) of 2408 and 2426 is 2.

GCF(2408,2426) = 2

We will now calculate the prime factors of 2408 and 2426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2408 and 2426.

How to find the GCF of 2408 and 2426?

We will first find the prime factorization of 2408 and 2426. After we will calculate the factors of 2408 and 2426 and find the biggest common factor number .

Step-1: Prime Factorization of 2408

Prime factors of 2408 are 2, 7, 43. Prime factorization of 2408 in exponential form is:

2408 = 2³ × 7¹ × 43¹

Step-2: Prime Factorization of 2426

Prime factors of 2426 are 2, 1213. Prime factorization of 2426 in exponential form is:

2426 = 2¹ × 1213¹

Step-3: Factors of 2408

List of positive integer factors of 2408 that divides 2408 without a remainder.

1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204

Step-4: Factors of 2426

List of positive integer factors of 2426 that divides 2408 without a remainder.

1, 2, 1213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2408 and 2426. The biggest common factor number is the GCF number.
So the greatest common factor 2408 and 2426 is 2.

Also check out the Least Common Multiple of 2408 and 2426