What is the Greatest Common Factor of 24831 and 24850?

Greatest common factor (GCF) of 24831 and 24850 is 1.

GCF(24831,24850) = 1

We will now calculate the prime factors of 24831 and 24850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24831 and 24850.

How to find the GCF of 24831 and 24850?

We will first find the prime factorization of 24831 and 24850. After we will calculate the factors of 24831 and 24850 and find the biggest common factor number .

Step-1: Prime Factorization of 24831

Prime factors of 24831 are 3, 31, 89. Prime factorization of 24831 in exponential form is:

24831 = 3² × 31¹ × 89¹

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 24831

List of positive integer factors of 24831 that divides 24831 without a remainder.

1, 3, 9, 31, 89, 93, 267, 279, 801, 2759, 8277

Step-4: Factors of 24850

List of positive integer factors of 24850 that divides 24831 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 24831 and 24850. The biggest common factor number is the GCF number.
So the greatest common factor 24831 and 24850 is 1.

Also check out the Least Common Multiple of 24831 and 24850