What is the Greatest Common Factor of 92700 and 92720?

Greatest common factor (GCF) of 92700 and 92720 is 20.

GCF(92700,92720) = 20

We will now calculate the prime factors of 92700 and 92720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92700 and 92720.

How to find the GCF of 92700 and 92720?

We will first find the prime factorization of 92700 and 92720. After we will calculate the factors of 92700 and 92720 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 92720

Prime factors of 92720 are 2, 5, 19, 61. Prime factorization of 92720 in exponential form is:

92720 = 2⁴ × 5¹ × 19¹ × 61¹

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 92720

List of positive integer factors of 92720 that divides 92700 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 38, 40, 61, 76, 80, 95, 122, 152, 190, 244, 304, 305, 380, 488, 610, 760, 976, 1159, 1220, 1520, 2318, 2440, 4636, 4880, 5795, 9272, 11590, 18544, 23180, 46360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92700 and 92720. The biggest common factor number is the GCF number.
So the greatest common factor 92700 and 92720 is 20.

Also check out the Least Common Multiple of 92700 and 92720