What is the Greatest Common Factor of 23449 and 23460?

Greatest common factor (GCF) of 23449 and 23460 is 1.

GCF(23449,23460) = 1

We will now calculate the prime factors of 23449 and 23460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23449 and 23460.

How to find the GCF of 23449 and 23460?

We will first find the prime factorization of 23449 and 23460. After we will calculate the factors of 23449 and 23460 and find the biggest common factor number .

Step-1: Prime Factorization of 23449

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

23449 = 131¹ × 179¹

Step-2: Prime Factorization of 23460

Prime factors of 23460 are 2, 3, 5, 17, 23. Prime factorization of 23460 in exponential form is:

23460 = 2² × 3¹ × 5¹ × 17¹ × 23¹

Step-3: Factors of 23449

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

1, 131, 179

Step-4: Factors of 23460

List of positive integer factors of 23460 that divides 23449 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 23, 30, 34, 46, 51, 60, 68, 69, 85, 92, 102, 115, 138, 170, 204, 230, 255, 276, 340, 345, 391, 460, 510, 690, 782, 1020, 1173, 1380, 1564, 1955, 2346, 3910, 4692, 5865, 7820, 11730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23449 and 23460. The biggest common factor number is the GCF number.
So the greatest common factor 23449 and 23460 is 1.

Also check out the Least Common Multiple of 23449 and 23460