What is the Greatest Common Factor of 92688 and 92700?

Greatest common factor (GCF) of 92688 and 92700 is 12.

GCF(92688,92700) = 12

We will now calculate the prime factors of 92688 and 92700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92688 and 92700.

How to find the GCF of 92688 and 92700?

We will first find the prime factorization of 92688 and 92700. After we will calculate the factors of 92688 and 92700 and find the biggest common factor number .

Step-1: Prime Factorization of 92688

Prime factors of 92688 are 2, 3, 1931. Prime factorization of 92688 in exponential form is:

92688 = 2⁴ × 3¹ × 1931¹

Step-2: Prime Factorization of 92700

Prime factors of 92700 are 2, 3, 5, 103. Prime factorization of 92700 in exponential form is:

92700 = 2² × 3² × 5² × 103¹

Step-3: Factors of 92688

List of positive integer factors of 92688 that divides 92688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1931, 3862, 5793, 7724, 11586, 15448, 23172, 30896, 46344

Step-4: Factors of 92700

List of positive integer factors of 92700 that divides 92688 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 103, 150, 180, 206, 225, 300, 309, 412, 450, 515, 618, 900, 927, 1030, 1236, 1545, 1854, 2060, 2575, 3090, 3708, 4635, 5150, 6180, 7725, 9270, 10300, 15450, 18540, 23175, 30900, 46350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92688 and 92700. The biggest common factor number is the GCF number.
So the greatest common factor 92688 and 92700 is 12.

Also check out the Least Common Multiple of 92688 and 92700