What is the Greatest Common Factor of 92700 and 92713?

Greatest common factor (GCF) of 92700 and 92713 is 1.

GCF(92700,92713) = 1

We will now calculate the prime factors of 92700 and 92713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92700 and 92713.

How to find the GCF of 92700 and 92713?

We will first find the prime factorization of 92700 and 92713. After we will calculate the factors of 92700 and 92713 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92713

Prime factors of 92713 are 23, 29, 139. Prime factorization of 92713 in exponential form is:

92713 = 23¹ × 29¹ × 139¹

Step-3: Factors of 92700

List of positive integer factors of 92700 that divides 92700 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

Step-4: Factors of 92713

List of positive integer factors of 92713 that divides 92700 without a remainder.

1, 23, 29, 139, 667, 3197, 4031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92700 and 92713. The biggest common factor number is the GCF number.
So the greatest common factor 92700 and 92713 is 1.

Also check out the Least Common Multiple of 92700 and 92713