What is the Greatest Common Factor of 92700 and 92715?

Greatest common factor (GCF) of 92700 and 92715 is 15.

GCF(92700,92715) = 15

We will now calculate the prime factors of 92700 and 92715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92700 and 92715.

How to find the GCF of 92700 and 92715?

We will first find the prime factorization of 92700 and 92715. After we will calculate the factors of 92700 and 92715 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 92715

Prime factors of 92715 are 3, 5, 7, 883. Prime factorization of 92715 in exponential form is:

92715 = 3¹ × 5¹ × 7¹ × 883¹

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 92715

List of positive integer factors of 92715 that divides 92700 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 883, 2649, 4415, 6181, 13245, 18543, 30905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92700 and 92715. The biggest common factor number is the GCF number.
So the greatest common factor 92700 and 92715 is 15.

Also check out the Least Common Multiple of 92700 and 92715