What is the Greatest Common Factor of 23268 and 23279?

Greatest common factor (GCF) of 23268 and 23279 is 1.

GCF(23268,23279) = 1

We will now calculate the prime factors of 23268 and 23279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23268 and 23279.

How to find the GCF of 23268 and 23279?

We will first find the prime factorization of 23268 and 23279. After we will calculate the factors of 23268 and 23279 and find the biggest common factor number .

Step-1: Prime Factorization of 23268

Prime factors of 23268 are 2, 3, 7, 277. Prime factorization of 23268 in exponential form is:

23268 = 2² × 3¹ × 7¹ × 277¹

Step-2: Prime Factorization of 23279

Prime factors of 23279 are 23279. Prime factorization of 23279 in exponential form is:

23279 = 23279¹

Step-3: Factors of 23268

List of positive integer factors of 23268 that divides 23268 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 277, 554, 831, 1108, 1662, 1939, 3324, 3878, 5817, 7756, 11634

Step-4: Factors of 23279

List of positive integer factors of 23279 that divides 23268 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23268 and 23279. The biggest common factor number is the GCF number.
So the greatest common factor 23268 and 23279 is 1.

Also check out the Least Common Multiple of 23268 and 23279