What is the Greatest Common Factor of 24465 and 24474?

Greatest common factor (GCF) of 24465 and 24474 is 3.

GCF(24465,24474) = 3

We will now calculate the prime factors of 24465 and 24474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24465 and 24474.

How to find the GCF of 24465 and 24474?

We will first find the prime factorization of 24465 and 24474. After we will calculate the factors of 24465 and 24474 and find the biggest common factor number .

Step-1: Prime Factorization of 24465

Prime factors of 24465 are 3, 5, 7, 233. Prime factorization of 24465 in exponential form is:

24465 = 3¹ × 5¹ × 7¹ × 233¹

Step-2: Prime Factorization of 24474

Prime factors of 24474 are 2, 3, 4079. Prime factorization of 24474 in exponential form is:

24474 = 2¹ × 3¹ × 4079¹

Step-3: Factors of 24465

List of positive integer factors of 24465 that divides 24465 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 233, 699, 1165, 1631, 3495, 4893, 8155

Step-4: Factors of 24474

List of positive integer factors of 24474 that divides 24465 without a remainder.

1, 2, 3, 6, 4079, 8158, 12237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24465 and 24474. The biggest common factor number is the GCF number.
So the greatest common factor 24465 and 24474 is 3.

Also check out the Least Common Multiple of 24465 and 24474