What is the Greatest Common Factor of 24495 and 24505?

Greatest common factor (GCF) of 24495 and 24505 is 5.

GCF(24495,24505) = 5

We will now calculate the prime factors of 24495 and 24505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24495 and 24505.

How to find the GCF of 24495 and 24505?

We will first find the prime factorization of 24495 and 24505. After we will calculate the factors of 24495 and 24505 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24505

Prime factors of 24505 are 5, 13, 29. Prime factorization of 24505 in exponential form is:

24505 = 5¹ × 13² × 29¹

Step-3: Factors of 24495

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

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

Step-4: Factors of 24505

List of positive integer factors of 24505 that divides 24495 without a remainder.

1, 5, 13, 29, 65, 145, 169, 377, 845, 1885, 4901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24495 and 24505. The biggest common factor number is the GCF number.
So the greatest common factor 24495 and 24505 is 5.

Also check out the Least Common Multiple of 24495 and 24505