What is the Greatest Common Factor of 24464 and 24475?

Greatest common factor (GCF) of 24464 and 24475 is 11.

GCF(24464,24475) = 11

We will now calculate the prime factors of 24464 and 24475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24464 and 24475.

How to find the GCF of 24464 and 24475?

We will first find the prime factorization of 24464 and 24475. After we will calculate the factors of 24464 and 24475 and find the biggest common factor number .

Step-1: Prime Factorization of 24464

Prime factors of 24464 are 2, 11, 139. Prime factorization of 24464 in exponential form is:

24464 = 2⁴ × 11¹ × 139¹

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 24464

List of positive integer factors of 24464 that divides 24464 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 139, 176, 278, 556, 1112, 1529, 2224, 3058, 6116, 12232

Step-4: Factors of 24475

List of positive integer factors of 24475 that divides 24464 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 24464 and 24475. The biggest common factor number is the GCF number.
So the greatest common factor 24464 and 24475 is 11.

Also check out the Least Common Multiple of 24464 and 24475