What is the Greatest Common Factor of 24076 and 24089?

Greatest common factor (GCF) of 24076 and 24089 is 13.

GCF(24076,24089) = 13

We will now calculate the prime factors of 24076 and 24089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24076 and 24089.

How to find the GCF of 24076 and 24089?

We will first find the prime factorization of 24076 and 24089. After we will calculate the factors of 24076 and 24089 and find the biggest common factor number .

Step-1: Prime Factorization of 24076

Prime factors of 24076 are 2, 13, 463. Prime factorization of 24076 in exponential form is:

24076 = 2² × 13¹ × 463¹

Step-2: Prime Factorization of 24089

Prime factors of 24089 are 13, 17, 109. Prime factorization of 24089 in exponential form is:

24089 = 13¹ × 17¹ × 109¹

Step-3: Factors of 24076

List of positive integer factors of 24076 that divides 24076 without a remainder.

1, 2, 4, 13, 26, 52, 463, 926, 1852, 6019, 12038

Step-4: Factors of 24089

List of positive integer factors of 24089 that divides 24076 without a remainder.

1, 13, 17, 109, 221, 1417, 1853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24076 and 24089. The biggest common factor number is the GCF number.
So the greatest common factor 24076 and 24089 is 13.

Also check out the Least Common Multiple of 24076 and 24089