What is the Greatest Common Factor of 24266 and 24277?

Greatest common factor (GCF) of 24266 and 24277 is 11.

GCF(24266,24277) = 11

We will now calculate the prime factors of 24266 and 24277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24266 and 24277.

How to find the GCF of 24266 and 24277?

We will first find the prime factorization of 24266 and 24277. After we will calculate the factors of 24266 and 24277 and find the biggest common factor number .

Step-1: Prime Factorization of 24266

Prime factors of 24266 are 2, 11, 1103. Prime factorization of 24266 in exponential form is:

24266 = 2¹ × 11¹ × 1103¹

Step-2: Prime Factorization of 24277

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

24277 = 11¹ × 2207¹

Step-3: Factors of 24266

List of positive integer factors of 24266 that divides 24266 without a remainder.

1, 2, 11, 22, 1103, 2206, 12133

Step-4: Factors of 24277

List of positive integer factors of 24277 that divides 24266 without a remainder.

1, 11, 2207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24266 and 24277. The biggest common factor number is the GCF number.
So the greatest common factor 24266 and 24277 is 11.

Also check out the Least Common Multiple of 24266 and 24277