What is the Greatest Common Factor of 24830 and 24850?

Greatest common factor (GCF) of 24830 and 24850 is 10.

GCF(24830,24850) = 10

We will now calculate the prime factors of 24830 and 24850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24830 and 24850.

How to find the GCF of 24830 and 24850?

We will first find the prime factorization of 24830 and 24850. After we will calculate the factors of 24830 and 24850 and find the biggest common factor number .

Step-1: Prime Factorization of 24830

Prime factors of 24830 are 2, 5, 13, 191. Prime factorization of 24830 in exponential form is:

24830 = 2¹ × 5¹ × 13¹ × 191¹

Step-2: Prime Factorization of 24850

Prime factors of 24850 are 2, 5, 7, 71. Prime factorization of 24850 in exponential form is:

24850 = 2¹ × 5² × 7¹ × 71¹

Step-3: Factors of 24830

List of positive integer factors of 24830 that divides 24830 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 191, 382, 955, 1910, 2483, 4966, 12415

Step-4: Factors of 24850

List of positive integer factors of 24850 that divides 24830 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 71, 142, 175, 350, 355, 497, 710, 994, 1775, 2485, 3550, 4970, 12425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24830 and 24850. The biggest common factor number is the GCF number.
So the greatest common factor 24830 and 24850 is 10.

Also check out the Least Common Multiple of 24830 and 24850