What is the Greatest Common Factor of 24089 and 24102?

Greatest common factor (GCF) of 24089 and 24102 is 13.

GCF(24089,24102) = 13

We will now calculate the prime factors of 24089 and 24102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24089 and 24102.

How to find the GCF of 24089 and 24102?

We will first find the prime factorization of 24089 and 24102. After we will calculate the factors of 24089 and 24102 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24102

Prime factors of 24102 are 2, 3, 13, 103. Prime factorization of 24102 in exponential form is:

24102 = 2¹ × 3² × 13¹ × 103¹

Step-3: Factors of 24089

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

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

Step-4: Factors of 24102

List of positive integer factors of 24102 that divides 24089 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 103, 117, 206, 234, 309, 618, 927, 1339, 1854, 2678, 4017, 8034, 12051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24089 and 24102. The biggest common factor number is the GCF number.
So the greatest common factor 24089 and 24102 is 13.

Also check out the Least Common Multiple of 24089 and 24102