What is the Greatest Common Factor of 24495 and 24513?

Greatest common factor (GCF) of 24495 and 24513 is 3.

GCF(24495,24513) = 3

We will now calculate the prime factors of 24495 and 24513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24495 and 24513.

How to find the GCF of 24495 and 24513?

We will first find the prime factorization of 24495 and 24513. After we will calculate the factors of 24495 and 24513 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 24513

Prime factors of 24513 are 3, 8171. Prime factorization of 24513 in exponential form is:

24513 = 3¹ × 8171¹

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 24513

List of positive integer factors of 24513 that divides 24495 without a remainder.

1, 3, 8171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24495 and 24513. The biggest common factor number is the GCF number.
So the greatest common factor 24495 and 24513 is 3.

Also check out the Least Common Multiple of 24495 and 24513