What is the Greatest Common Factor of 96084 and 96103?

Greatest common factor (GCF) of 96084 and 96103 is 1.

GCF(96084,96103) = 1

We will now calculate the prime factors of 96084 and 96103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96084 and 96103.

How to find the GCF of 96084 and 96103?

We will first find the prime factorization of 96084 and 96103. After we will calculate the factors of 96084 and 96103 and find the biggest common factor number .

Step-1: Prime Factorization of 96084

Prime factors of 96084 are 2, 3, 17, 157. Prime factorization of 96084 in exponential form is:

96084 = 2² × 3² × 17¹ × 157¹

Step-2: Prime Factorization of 96103

Prime factors of 96103 are 7, 13729. Prime factorization of 96103 in exponential form is:

96103 = 7¹ × 13729¹

Step-3: Factors of 96084

List of positive integer factors of 96084 that divides 96084 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 157, 204, 306, 314, 471, 612, 628, 942, 1413, 1884, 2669, 2826, 5338, 5652, 8007, 10676, 16014, 24021, 32028, 48042

Step-4: Factors of 96103

List of positive integer factors of 96103 that divides 96084 without a remainder.

1, 7, 13729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96084 and 96103. The biggest common factor number is the GCF number.
So the greatest common factor 96084 and 96103 is 1.

Also check out the Least Common Multiple of 96084 and 96103