What is the Greatest Common Factor of 24102 and 24116?

Greatest common factor (GCF) of 24102 and 24116 is 2.

GCF(24102,24116) = 2

We will now calculate the prime factors of 24102 and 24116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24102 and 24116.

How to find the GCF of 24102 and 24116?

We will first find the prime factorization of 24102 and 24116. After we will calculate the factors of 24102 and 24116 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24116

Prime factors of 24116 are 2, 6029. Prime factorization of 24116 in exponential form is:

24116 = 2² × 6029¹

Step-3: Factors of 24102

List of positive integer factors of 24102 that divides 24102 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

Step-4: Factors of 24116

List of positive integer factors of 24116 that divides 24102 without a remainder.

1, 2, 4, 6029, 12058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24102 and 24116. The biggest common factor number is the GCF number.
So the greatest common factor 24102 and 24116 is 2.

Also check out the Least Common Multiple of 24102 and 24116