What is the Greatest Common Factor of 24740 and 24755?

Greatest common factor (GCF) of 24740 and 24755 is 5.

GCF(24740,24755) = 5

We will now calculate the prime factors of 24740 and 24755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24740 and 24755.

How to find the GCF of 24740 and 24755?

We will first find the prime factorization of 24740 and 24755. After we will calculate the factors of 24740 and 24755 and find the biggest common factor number .

Step-1: Prime Factorization of 24740

Prime factors of 24740 are 2, 5, 1237. Prime factorization of 24740 in exponential form is:

24740 = 2² × 5¹ × 1237¹

Step-2: Prime Factorization of 24755

Prime factors of 24755 are 5, 4951. Prime factorization of 24755 in exponential form is:

24755 = 5¹ × 4951¹

Step-3: Factors of 24740

List of positive integer factors of 24740 that divides 24740 without a remainder.

1, 2, 4, 5, 10, 20, 1237, 2474, 4948, 6185, 12370

Step-4: Factors of 24755

List of positive integer factors of 24755 that divides 24740 without a remainder.

1, 5, 4951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24740 and 24755. The biggest common factor number is the GCF number.
So the greatest common factor 24740 and 24755 is 5.

Also check out the Least Common Multiple of 24740 and 24755