What is the Greatest Common Factor of 24451 and 24465?

Greatest common factor (GCF) of 24451 and 24465 is 7.

GCF(24451,24465) = 7

We will now calculate the prime factors of 24451 and 24465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24451 and 24465.

How to find the GCF of 24451 and 24465?

We will first find the prime factorization of 24451 and 24465. After we will calculate the factors of 24451 and 24465 and find the biggest common factor number .

Step-1: Prime Factorization of 24451

Prime factors of 24451 are 7, 499. Prime factorization of 24451 in exponential form is:

24451 = 7² × 499¹

Step-2: 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-3: Factors of 24451

List of positive integer factors of 24451 that divides 24451 without a remainder.

1, 7, 49, 499, 3493

Step-4: Factors of 24465

List of positive integer factors of 24465 that divides 24451 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24451 and 24465. The biggest common factor number is the GCF number.
So the greatest common factor 24451 and 24465 is 7.

Also check out the Least Common Multiple of 24451 and 24465