What is the Greatest Common Factor of 24950 and 24962?

Greatest common factor (GCF) of 24950 and 24962 is 2.

GCF(24950,24962) = 2

We will now calculate the prime factors of 24950 and 24962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24950 and 24962.

How to find the GCF of 24950 and 24962?

We will first find the prime factorization of 24950 and 24962. After we will calculate the factors of 24950 and 24962 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 24962

Prime factors of 24962 are 2, 7, 1783. Prime factorization of 24962 in exponential form is:

24962 = 2¹ × 7¹ × 1783¹

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 24962

List of positive integer factors of 24962 that divides 24950 without a remainder.

1, 2, 7, 14, 1783, 3566, 12481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24950 and 24962. The biggest common factor number is the GCF number.
So the greatest common factor 24950 and 24962 is 2.

Also check out the Least Common Multiple of 24950 and 24962