What is the Greatest Common Factor of 2414 and 2422?

Greatest common factor (GCF) of 2414 and 2422 is 2.

GCF(2414,2422) = 2

We will now calculate the prime factors of 2414 and 2422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2414 and 2422.

How to find the GCF of 2414 and 2422?

We will first find the prime factorization of 2414 and 2422. After we will calculate the factors of 2414 and 2422 and find the biggest common factor number .

Step-1: Prime Factorization of 2414

Prime factors of 2414 are 2, 17, 71. Prime factorization of 2414 in exponential form is:

2414 = 2¹ × 17¹ × 71¹

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 2414

List of positive integer factors of 2414 that divides 2414 without a remainder.

1, 2, 17, 34, 71, 142, 1207

Step-4: Factors of 2422

List of positive integer factors of 2422 that divides 2414 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2414 and 2422. The biggest common factor number is the GCF number.
So the greatest common factor 2414 and 2422 is 2.

Also check out the Least Common Multiple of 2414 and 2422