What is the Greatest Common Factor of 23436 and 23449?

Greatest common factor (GCF) of 23436 and 23449 is 1.

GCF(23436,23449) = 1

We will now calculate the prime factors of 23436 and 23449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23436 and 23449.

How to find the GCF of 23436 and 23449?

We will first find the prime factorization of 23436 and 23449. After we will calculate the factors of 23436 and 23449 and find the biggest common factor number .

Step-1: Prime Factorization of 23436

Prime factors of 23436 are 2, 3, 7, 31. Prime factorization of 23436 in exponential form is:

23436 = 2² × 3³ × 7¹ × 31¹

Step-2: Prime Factorization of 23449

Prime factors of 23449 are 131, 179. Prime factorization of 23449 in exponential form is:

23449 = 131¹ × 179¹

Step-3: Factors of 23436

List of positive integer factors of 23436 that divides 23436 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 31, 36, 42, 54, 62, 63, 84, 93, 108, 124, 126, 186, 189, 217, 252, 279, 372, 378, 434, 558, 651, 756, 837, 868, 1116, 1302, 1674, 1953, 2604, 3348, 3906, 5859, 7812, 11718

Step-4: Factors of 23449

List of positive integer factors of 23449 that divides 23436 without a remainder.

1, 131, 179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23436 and 23449. The biggest common factor number is the GCF number.
So the greatest common factor 23436 and 23449 is 1.

Also check out the Least Common Multiple of 23436 and 23449