What is the Greatest Common Factor of 24730 and 24740?

Greatest common factor (GCF) of 24730 and 24740 is 10.

GCF(24730,24740) = 10

We will now calculate the prime factors of 24730 and 24740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24730 and 24740.

How to find the GCF of 24730 and 24740?

We will first find the prime factorization of 24730 and 24740. After we will calculate the factors of 24730 and 24740 and find the biggest common factor number .

Step-1: Prime Factorization of 24730

Prime factors of 24730 are 2, 5, 2473. Prime factorization of 24730 in exponential form is:

24730 = 2¹ × 5¹ × 2473¹

Step-2: 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-3: Factors of 24730

List of positive integer factors of 24730 that divides 24730 without a remainder.

1, 2, 5, 10, 2473, 4946, 12365

Step-4: Factors of 24740

List of positive integer factors of 24740 that divides 24730 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24730 and 24740. The biggest common factor number is the GCF number.
So the greatest common factor 24730 and 24740 is 10.

Also check out the Least Common Multiple of 24730 and 24740