What is the Greatest Common Factor of 23416 and 23422?

Greatest common factor (GCF) of 23416 and 23422 is 2.

GCF(23416,23422) = 2

We will now calculate the prime factors of 23416 and 23422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23416 and 23422.

How to find the GCF of 23416 and 23422?

We will first find the prime factorization of 23416 and 23422. After we will calculate the factors of 23416 and 23422 and find the biggest common factor number .

Step-1: Prime Factorization of 23416

Prime factors of 23416 are 2, 2927. Prime factorization of 23416 in exponential form is:

23416 = 2³ × 2927¹

Step-2: Prime Factorization of 23422

Prime factors of 23422 are 2, 7, 239. Prime factorization of 23422 in exponential form is:

23422 = 2¹ × 7² × 239¹

Step-3: Factors of 23416

List of positive integer factors of 23416 that divides 23416 without a remainder.

1, 2, 4, 8, 2927, 5854, 11708

Step-4: Factors of 23422

List of positive integer factors of 23422 that divides 23416 without a remainder.

1, 2, 7, 14, 49, 98, 239, 478, 1673, 3346, 11711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23416 and 23422. The biggest common factor number is the GCF number.
So the greatest common factor 23416 and 23422 is 2.

Also check out the Least Common Multiple of 23416 and 23422