What is the Greatest Common Factor of 24814 and 24830?

Greatest common factor (GCF) of 24814 and 24830 is 2.

GCF(24814,24830) = 2

We will now calculate the prime factors of 24814 and 24830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24814 and 24830.

How to find the GCF of 24814 and 24830?

We will first find the prime factorization of 24814 and 24830. After we will calculate the factors of 24814 and 24830 and find the biggest common factor number .

Step-1: Prime Factorization of 24814

Prime factors of 24814 are 2, 19, 653. Prime factorization of 24814 in exponential form is:

24814 = 2¹ × 19¹ × 653¹

Step-2: 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-3: Factors of 24814

List of positive integer factors of 24814 that divides 24814 without a remainder.

1, 2, 19, 38, 653, 1306, 12407

Step-4: Factors of 24830

List of positive integer factors of 24830 that divides 24814 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24814 and 24830. The biggest common factor number is the GCF number.
So the greatest common factor 24814 and 24830 is 2.

Also check out the Least Common Multiple of 24814 and 24830