What is the Greatest Common Factor of 24450 and 24460?

Greatest common factor (GCF) of 24450 and 24460 is 10.

GCF(24450,24460) = 10

We will now calculate the prime factors of 24450 and 24460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24450 and 24460.

How to find the GCF of 24450 and 24460?

We will first find the prime factorization of 24450 and 24460. After we will calculate the factors of 24450 and 24460 and find the biggest common factor number .

Step-1: Prime Factorization of 24450

Prime factors of 24450 are 2, 3, 5, 163. Prime factorization of 24450 in exponential form is:

24450 = 2¹ × 3¹ × 5² × 163¹

Step-2: Prime Factorization of 24460

Prime factors of 24460 are 2, 5, 1223. Prime factorization of 24460 in exponential form is:

24460 = 2² × 5¹ × 1223¹

Step-3: Factors of 24450

List of positive integer factors of 24450 that divides 24450 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 163, 326, 489, 815, 978, 1630, 2445, 4075, 4890, 8150, 12225

Step-4: Factors of 24460

List of positive integer factors of 24460 that divides 24450 without a remainder.

1, 2, 4, 5, 10, 20, 1223, 2446, 4892, 6115, 12230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24450 and 24460. The biggest common factor number is the GCF number.
So the greatest common factor 24450 and 24460 is 10.

Also check out the Least Common Multiple of 24450 and 24460