What is the Greatest Common Factor of 24254 and 24261?

Greatest common factor (GCF) of 24254 and 24261 is 1.

GCF(24254,24261) = 1

We will now calculate the prime factors of 24254 and 24261, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24254 and 24261.

How to find the GCF of 24254 and 24261?

We will first find the prime factorization of 24254 and 24261. After we will calculate the factors of 24254 and 24261 and find the biggest common factor number .

Step-1: Prime Factorization of 24254

Prime factors of 24254 are 2, 67, 181. Prime factorization of 24254 in exponential form is:

24254 = 2¹ × 67¹ × 181¹

Step-2: Prime Factorization of 24261

Prime factors of 24261 are 3, 8087. Prime factorization of 24261 in exponential form is:

24261 = 3¹ × 8087¹

Step-3: Factors of 24254

List of positive integer factors of 24254 that divides 24254 without a remainder.

1, 2, 67, 134, 181, 362, 12127

Step-4: Factors of 24261

List of positive integer factors of 24261 that divides 24254 without a remainder.

1, 3, 8087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24254 and 24261. The biggest common factor number is the GCF number.
So the greatest common factor 24254 and 24261 is 1.

Also check out the Least Common Multiple of 24254 and 24261