What is the Greatest Common Factor of 93104 and 93112?

Greatest common factor (GCF) of 93104 and 93112 is 8.

GCF(93104,93112) = 8

We will now calculate the prime factors of 93104 and 93112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93104 and 93112.

How to find the GCF of 93104 and 93112?

We will first find the prime factorization of 93104 and 93112. After we will calculate the factors of 93104 and 93112 and find the biggest common factor number .

Step-1: Prime Factorization of 93104

Prime factors of 93104 are 2, 11, 23. Prime factorization of 93104 in exponential form is:

93104 = 2⁴ × 11¹ × 23²

Step-2: Prime Factorization of 93112

Prime factors of 93112 are 2, 103, 113. Prime factorization of 93112 in exponential form is:

93112 = 2³ × 103¹ × 113¹

Step-3: Factors of 93104

List of positive integer factors of 93104 that divides 93104 without a remainder.

1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 529, 1012, 1058, 2024, 2116, 4048, 4232, 5819, 8464, 11638, 23276, 46552

Step-4: Factors of 93112

List of positive integer factors of 93112 that divides 93104 without a remainder.

1, 2, 4, 8, 103, 113, 206, 226, 412, 452, 824, 904, 11639, 23278, 46556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93104 and 93112. The biggest common factor number is the GCF number.
So the greatest common factor 93104 and 93112 is 8.

Also check out the Least Common Multiple of 93104 and 93112