What is the Greatest Common Factor of 24940 and 24950?

Greatest common factor (GCF) of 24940 and 24950 is 10.

GCF(24940,24950) = 10

We will now calculate the prime factors of 24940 and 24950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24940 and 24950.

How to find the GCF of 24940 and 24950?

We will first find the prime factorization of 24940 and 24950. After we will calculate the factors of 24940 and 24950 and find the biggest common factor number .

Step-1: Prime Factorization of 24940

Prime factors of 24940 are 2, 5, 29, 43. Prime factorization of 24940 in exponential form is:

24940 = 2² × 5¹ × 29¹ × 43¹

Step-2: 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-3: Factors of 24940

List of positive integer factors of 24940 that divides 24940 without a remainder.

1, 2, 4, 5, 10, 20, 29, 43, 58, 86, 116, 145, 172, 215, 290, 430, 580, 860, 1247, 2494, 4988, 6235, 12470

Step-4: Factors of 24950

List of positive integer factors of 24950 that divides 24940 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24940 and 24950. The biggest common factor number is the GCF number.
So the greatest common factor 24940 and 24950 is 10.

Also check out the Least Common Multiple of 24940 and 24950