What is the Greatest Common Factor of 24235 and 24249?

Greatest common factor (GCF) of 24235 and 24249 is 1.

GCF(24235,24249) = 1

We will now calculate the prime factors of 24235 and 24249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24235 and 24249.

How to find the GCF of 24235 and 24249?

We will first find the prime factorization of 24235 and 24249. After we will calculate the factors of 24235 and 24249 and find the biggest common factor number .

Step-1: Prime Factorization of 24235

Prime factors of 24235 are 5, 37, 131. Prime factorization of 24235 in exponential form is:

24235 = 5¹ × 37¹ × 131¹

Step-2: Prime Factorization of 24249

Prime factors of 24249 are 3, 59, 137. Prime factorization of 24249 in exponential form is:

24249 = 3¹ × 59¹ × 137¹

Step-3: Factors of 24235

List of positive integer factors of 24235 that divides 24235 without a remainder.

1, 5, 37, 131, 185, 655, 4847

Step-4: Factors of 24249

List of positive integer factors of 24249 that divides 24235 without a remainder.

1, 3, 59, 137, 177, 411, 8083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24235 and 24249. The biggest common factor number is the GCF number.
So the greatest common factor 24235 and 24249 is 1.

Also check out the Least Common Multiple of 24235 and 24249