What is the Greatest Common Factor of 24470 and 24475?

Greatest common factor (GCF) of 24470 and 24475 is 5.

GCF(24470,24475) = 5

We will now calculate the prime factors of 24470 and 24475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24470 and 24475.

How to find the GCF of 24470 and 24475?

We will first find the prime factorization of 24470 and 24475. After we will calculate the factors of 24470 and 24475 and find the biggest common factor number .

Step-1: Prime Factorization of 24470

Prime factors of 24470 are 2, 5, 2447. Prime factorization of 24470 in exponential form is:

24470 = 2¹ × 5¹ × 2447¹

Step-2: Prime Factorization of 24475

Prime factors of 24475 are 5, 11, 89. Prime factorization of 24475 in exponential form is:

24475 = 5² × 11¹ × 89¹

Step-3: Factors of 24470

List of positive integer factors of 24470 that divides 24470 without a remainder.

1, 2, 5, 10, 2447, 4894, 12235

Step-4: Factors of 24475

List of positive integer factors of 24475 that divides 24470 without a remainder.

1, 5, 11, 25, 55, 89, 275, 445, 979, 2225, 4895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24470 and 24475. The biggest common factor number is the GCF number.
So the greatest common factor 24470 and 24475 is 5.

Also check out the Least Common Multiple of 24470 and 24475