What is the Greatest Common Factor of 24370 and 24380?

Greatest common factor (GCF) of 24370 and 24380 is 10.

GCF(24370,24380) = 10

We will now calculate the prime factors of 24370 and 24380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24370 and 24380.

How to find the GCF of 24370 and 24380?

We will first find the prime factorization of 24370 and 24380. After we will calculate the factors of 24370 and 24380 and find the biggest common factor number .

Step-1: Prime Factorization of 24370

Prime factors of 24370 are 2, 5, 2437. Prime factorization of 24370 in exponential form is:

24370 = 2¹ × 5¹ × 2437¹

Step-2: Prime Factorization of 24380

Prime factors of 24380 are 2, 5, 23, 53. Prime factorization of 24380 in exponential form is:

24380 = 2² × 5¹ × 23¹ × 53¹

Step-3: Factors of 24370

List of positive integer factors of 24370 that divides 24370 without a remainder.

1, 2, 5, 10, 2437, 4874, 12185

Step-4: Factors of 24380

List of positive integer factors of 24380 that divides 24370 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 53, 92, 106, 115, 212, 230, 265, 460, 530, 1060, 1219, 2438, 4876, 6095, 12190

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24370 and 24380. The biggest common factor number is the GCF number.
So the greatest common factor 24370 and 24380 is 10.

Also check out the Least Common Multiple of 24370 and 24380