What is the Greatest Common Factor of 96105 and 96121?

Greatest common factor (GCF) of 96105 and 96121 is 1.

GCF(96105,96121) = 1

We will now calculate the prime factors of 96105 and 96121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96105 and 96121.

How to find the GCF of 96105 and 96121?

We will first find the prime factorization of 96105 and 96121. After we will calculate the factors of 96105 and 96121 and find the biggest common factor number .

Step-1: Prime Factorization of 96105

Prime factors of 96105 are 3, 5, 43, 149. Prime factorization of 96105 in exponential form is:

96105 = 3¹ × 5¹ × 43¹ × 149¹

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 96105

List of positive integer factors of 96105 that divides 96105 without a remainder.

1, 3, 5, 15, 43, 129, 149, 215, 447, 645, 745, 2235, 6407, 19221, 32035

Step-4: Factors of 96121

List of positive integer factors of 96121 that divides 96105 without a remainder.

1, 19, 5059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96105 and 96121. The biggest common factor number is the GCF number.
So the greatest common factor 96105 and 96121 is 1.

Also check out the Least Common Multiple of 96105 and 96121