What is the Greatest Common Factor of 2408 and 2422?

Greatest common factor (GCF) of 2408 and 2422 is 14.

GCF(2408,2422) = 14

We will now calculate the prime factors of 2408 and 2422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2408 and 2422.

How to find the GCF of 2408 and 2422?

We will first find the prime factorization of 2408 and 2422. After we will calculate the factors of 2408 and 2422 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 2422

Prime factors of 2422 are 2, 7, 173. Prime factorization of 2422 in exponential form is:

2422 = 2¹ × 7¹ × 173¹

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 2422

List of positive integer factors of 2422 that divides 2408 without a remainder.

1, 2, 7, 14, 173, 346, 1211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2408 and 2422. The biggest common factor number is the GCF number.
So the greatest common factor 2408 and 2422 is 14.

Also check out the Least Common Multiple of 2408 and 2422