What is the Greatest Common Factor of 24115 and 24122?

Greatest common factor (GCF) of 24115 and 24122 is 7.

GCF(24115,24122) = 7

We will now calculate the prime factors of 24115 and 24122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24115 and 24122.

How to find the GCF of 24115 and 24122?

We will first find the prime factorization of 24115 and 24122. After we will calculate the factors of 24115 and 24122 and find the biggest common factor number .

Step-1: Prime Factorization of 24115

Prime factors of 24115 are 5, 7, 13, 53. Prime factorization of 24115 in exponential form is:

24115 = 5¹ × 7¹ × 13¹ × 53¹

Step-2: Prime Factorization of 24122

Prime factors of 24122 are 2, 7, 1723. Prime factorization of 24122 in exponential form is:

24122 = 2¹ × 7¹ × 1723¹

Step-3: Factors of 24115

List of positive integer factors of 24115 that divides 24115 without a remainder.

1, 5, 7, 13, 35, 53, 65, 91, 265, 371, 455, 689, 1855, 3445, 4823

Step-4: Factors of 24122

List of positive integer factors of 24122 that divides 24115 without a remainder.

1, 2, 7, 14, 1723, 3446, 12061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24115 and 24122. The biggest common factor number is the GCF number.
So the greatest common factor 24115 and 24122 is 7.

Also check out the Least Common Multiple of 24115 and 24122