What is the Greatest Common Factor of 24277 and 24285?

Greatest common factor (GCF) of 24277 and 24285 is 1.

GCF(24277,24285) = 1

We will now calculate the prime factors of 24277 and 24285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24277 and 24285.

How to find the GCF of 24277 and 24285?

We will first find the prime factorization of 24277 and 24285. After we will calculate the factors of 24277 and 24285 and find the biggest common factor number .

Step-1: Prime Factorization of 24277

Prime factors of 24277 are 11, 2207. Prime factorization of 24277 in exponential form is:

24277 = 11¹ × 2207¹

Step-2: Prime Factorization of 24285

Prime factors of 24285 are 3, 5, 1619. Prime factorization of 24285 in exponential form is:

24285 = 3¹ × 5¹ × 1619¹

Step-3: Factors of 24277

List of positive integer factors of 24277 that divides 24277 without a remainder.

1, 11, 2207

Step-4: Factors of 24285

List of positive integer factors of 24285 that divides 24277 without a remainder.

1, 3, 5, 15, 1619, 4857, 8095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24277 and 24285. The biggest common factor number is the GCF number.
So the greatest common factor 24277 and 24285 is 1.

Also check out the Least Common Multiple of 24277 and 24285