What is the Greatest Common Factor of 24262 and 24271?

Greatest common factor (GCF) of 24262 and 24271 is 1.

GCF(24262,24271) = 1

We will now calculate the prime factors of 24262 and 24271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24262 and 24271.

How to find the GCF of 24262 and 24271?

We will first find the prime factorization of 24262 and 24271. After we will calculate the factors of 24262 and 24271 and find the biggest common factor number .

Step-1: Prime Factorization of 24262

Prime factors of 24262 are 2, 7, 1733. Prime factorization of 24262 in exponential form is:

24262 = 2¹ × 7¹ × 1733¹

Step-2: Prime Factorization of 24271

Prime factors of 24271 are 13, 1867. Prime factorization of 24271 in exponential form is:

24271 = 13¹ × 1867¹

Step-3: Factors of 24262

List of positive integer factors of 24262 that divides 24262 without a remainder.

1, 2, 7, 14, 1733, 3466, 12131

Step-4: Factors of 24271

List of positive integer factors of 24271 that divides 24262 without a remainder.

1, 13, 1867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24262 and 24271. The biggest common factor number is the GCF number.
So the greatest common factor 24262 and 24271 is 1.

Also check out the Least Common Multiple of 24262 and 24271