What is the Greatest Common Factor of 92085 and 92100?

Greatest common factor (GCF) of 92085 and 92100 is 15.

GCF(92085,92100) = 15

We will now calculate the prime factors of 92085 and 92100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92085 and 92100.

How to find the GCF of 92085 and 92100?

We will first find the prime factorization of 92085 and 92100. After we will calculate the factors of 92085 and 92100 and find the biggest common factor number .

Step-1: Prime Factorization of 92085

Prime factors of 92085 are 3, 5, 7, 877. Prime factorization of 92085 in exponential form is:

92085 = 3¹ × 5¹ × 7¹ × 877¹

Step-2: Prime Factorization of 92100

Prime factors of 92100 are 2, 3, 5, 307. Prime factorization of 92100 in exponential form is:

92100 = 2² × 3¹ × 5² × 307¹

Step-3: Factors of 92085

List of positive integer factors of 92085 that divides 92085 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 877, 2631, 4385, 6139, 13155, 18417, 30695

Step-4: Factors of 92100

List of positive integer factors of 92100 that divides 92085 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300, 307, 614, 921, 1228, 1535, 1842, 3070, 3684, 4605, 6140, 7675, 9210, 15350, 18420, 23025, 30700, 46050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92085 and 92100. The biggest common factor number is the GCF number.
So the greatest common factor 92085 and 92100 is 15.

Also check out the Least Common Multiple of 92085 and 92100