What is the Greatest Common Factor of 24491 and 24495?

Greatest common factor (GCF) of 24491 and 24495 is 1.

GCF(24491,24495) = 1

We will now calculate the prime factors of 24491 and 24495, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24491 and 24495.

How to find the GCF of 24491 and 24495?

We will first find the prime factorization of 24491 and 24495. After we will calculate the factors of 24491 and 24495 and find the biggest common factor number .

Step-1: Prime Factorization of 24491

Prime factors of 24491 are 19, 1289. Prime factorization of 24491 in exponential form is:

24491 = 19¹ × 1289¹

Step-2: Prime Factorization of 24495

Prime factors of 24495 are 3, 5, 23, 71. Prime factorization of 24495 in exponential form is:

24495 = 3¹ × 5¹ × 23¹ × 71¹

Step-3: Factors of 24491

List of positive integer factors of 24491 that divides 24491 without a remainder.

1, 19, 1289

Step-4: Factors of 24495

List of positive integer factors of 24495 that divides 24491 without a remainder.

1, 3, 5, 15, 23, 69, 71, 115, 213, 345, 355, 1065, 1633, 4899, 8165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24491 and 24495. The biggest common factor number is the GCF number.
So the greatest common factor 24491 and 24495 is 1.

Also check out the Least Common Multiple of 24491 and 24495