What is the Greatest Common Factor of 24770 and 24782?

Greatest common factor (GCF) of 24770 and 24782 is 2.

GCF(24770,24782) = 2

We will now calculate the prime factors of 24770 and 24782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24770 and 24782.

How to find the GCF of 24770 and 24782?

We will first find the prime factorization of 24770 and 24782. After we will calculate the factors of 24770 and 24782 and find the biggest common factor number .

Step-1: Prime Factorization of 24770

Prime factors of 24770 are 2, 5, 2477. Prime factorization of 24770 in exponential form is:

24770 = 2¹ × 5¹ × 2477¹

Step-2: Prime Factorization of 24782

Prime factors of 24782 are 2, 12391. Prime factorization of 24782 in exponential form is:

24782 = 2¹ × 12391¹

Step-3: Factors of 24770

List of positive integer factors of 24770 that divides 24770 without a remainder.

1, 2, 5, 10, 2477, 4954, 12385

Step-4: Factors of 24782

List of positive integer factors of 24782 that divides 24770 without a remainder.

1, 2, 12391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24770 and 24782. The biggest common factor number is the GCF number.
So the greatest common factor 24770 and 24782 is 2.

Also check out the Least Common Multiple of 24770 and 24782