What is the Greatest Common Factor of 24290 and 24300?

Greatest common factor (GCF) of 24290 and 24300 is 10.

GCF(24290,24300) = 10

We will now calculate the prime factors of 24290 and 24300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24290 and 24300.

How to find the GCF of 24290 and 24300?

We will first find the prime factorization of 24290 and 24300. After we will calculate the factors of 24290 and 24300 and find the biggest common factor number .

Step-1: Prime Factorization of 24290

Prime factors of 24290 are 2, 5, 7, 347. Prime factorization of 24290 in exponential form is:

24290 = 2¹ × 5¹ × 7¹ × 347¹

Step-2: Prime Factorization of 24300

Prime factors of 24300 are 2, 3, 5. Prime factorization of 24300 in exponential form is:

24300 = 2² × 3⁵ × 5²

Step-3: Factors of 24290

List of positive integer factors of 24290 that divides 24290 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 347, 694, 1735, 2429, 3470, 4858, 12145

Step-4: Factors of 24300

List of positive integer factors of 24300 that divides 24290 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 81, 90, 100, 108, 135, 150, 162, 180, 225, 243, 270, 300, 324, 405, 450, 486, 540, 675, 810, 900, 972, 1215, 1350, 1620, 2025, 2430, 2700, 4050, 4860, 6075, 8100, 12150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24290 and 24300. The biggest common factor number is the GCF number.
So the greatest common factor 24290 and 24300 is 10.

Also check out the Least Common Multiple of 24290 and 24300