What is the Greatest Common Factor of 96102 and 96121?

Greatest common factor (GCF) of 96102 and 96121 is 19.

GCF(96102,96121) = 19

We will now calculate the prime factors of 96102 and 96121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96102 and 96121.

How to find the GCF of 96102 and 96121?

We will first find the prime factorization of 96102 and 96121. After we will calculate the factors of 96102 and 96121 and find the biggest common factor number .

Step-1: Prime Factorization of 96102

Prime factors of 96102 are 2, 3, 19, 281. Prime factorization of 96102 in exponential form is:

96102 = 2¹ × 3² × 19¹ × 281¹

Step-2: Prime Factorization of 96121

Prime factors of 96121 are 19, 5059. Prime factorization of 96121 in exponential form is:

96121 = 19¹ × 5059¹

Step-3: Factors of 96102

List of positive integer factors of 96102 that divides 96102 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 281, 342, 562, 843, 1686, 2529, 5058, 5339, 10678, 16017, 32034, 48051

Step-4: Factors of 96121

List of positive integer factors of 96121 that divides 96102 without a remainder.

1, 19, 5059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96102 and 96121. The biggest common factor number is the GCF number.
So the greatest common factor 96102 and 96121 is 19.

Also check out the Least Common Multiple of 96102 and 96121