What is the Greatest Common Factor of 24814 and 24828?

Greatest common factor (GCF) of 24814 and 24828 is 2.

GCF(24814,24828) = 2

We will now calculate the prime factors of 24814 and 24828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24814 and 24828.

How to find the GCF of 24814 and 24828?

We will first find the prime factorization of 24814 and 24828. After we will calculate the factors of 24814 and 24828 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 24828

Prime factors of 24828 are 2, 3, 2069. Prime factorization of 24828 in exponential form is:

24828 = 2² × 3¹ × 2069¹

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 24828

List of positive integer factors of 24828 that divides 24814 without a remainder.

1, 2, 3, 4, 6, 12, 2069, 4138, 6207, 8276, 12414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24814 and 24828. The biggest common factor number is the GCF number.
So the greatest common factor 24814 and 24828 is 2.

Also check out the Least Common Multiple of 24814 and 24828