What is the Greatest Common Factor of 92700 and 92705?

Greatest common factor (GCF) of 92700 and 92705 is 5.

GCF(92700,92705) = 5

We will now calculate the prime factors of 92700 and 92705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92700 and 92705.

How to find the GCF of 92700 and 92705?

We will first find the prime factorization of 92700 and 92705. After we will calculate the factors of 92700 and 92705 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 92705

Prime factors of 92705 are 5, 18541. Prime factorization of 92705 in exponential form is:

92705 = 5¹ × 18541¹

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 92705

List of positive integer factors of 92705 that divides 92700 without a remainder.

1, 5, 18541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92700 and 92705. The biggest common factor number is the GCF number.
So the greatest common factor 92700 and 92705 is 5.

Also check out the Least Common Multiple of 92700 and 92705