What is the Greatest Common Factor of 24950 and 24963?

Greatest common factor (GCF) of 24950 and 24963 is 1.

GCF(24950,24963) = 1

We will now calculate the prime factors of 24950 and 24963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24950 and 24963.

How to find the GCF of 24950 and 24963?

We will first find the prime factorization of 24950 and 24963. After we will calculate the factors of 24950 and 24963 and find the biggest common factor number .

Step-1: Prime Factorization of 24950

Prime factors of 24950 are 2, 5, 499. Prime factorization of 24950 in exponential form is:

24950 = 2¹ × 5² × 499¹

Step-2: Prime Factorization of 24963

Prime factors of 24963 are 3, 53, 157. Prime factorization of 24963 in exponential form is:

24963 = 3¹ × 53¹ × 157¹

Step-3: Factors of 24950

List of positive integer factors of 24950 that divides 24950 without a remainder.

1, 2, 5, 10, 25, 50, 499, 998, 2495, 4990, 12475

Step-4: Factors of 24963

List of positive integer factors of 24963 that divides 24950 without a remainder.

1, 3, 53, 157, 159, 471, 8321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24950 and 24963. The biggest common factor number is the GCF number.
So the greatest common factor 24950 and 24963 is 1.

Also check out the Least Common Multiple of 24950 and 24963