What is the Greatest Common Factor of 92100 and 92115?

Greatest common factor (GCF) of 92100 and 92115 is 15.

GCF(92100,92115) = 15

We will now calculate the prime factors of 92100 and 92115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92100 and 92115.

How to find the GCF of 92100 and 92115?

We will first find the prime factorization of 92100 and 92115. After we will calculate the factors of 92100 and 92115 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92115

Prime factors of 92115 are 3, 5, 23, 89. Prime factorization of 92115 in exponential form is:

92115 = 3² × 5¹ × 23¹ × 89¹

Step-3: Factors of 92100

List of positive integer factors of 92100 that divides 92100 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

Step-4: Factors of 92115

List of positive integer factors of 92115 that divides 92100 without a remainder.

1, 3, 5, 9, 15, 23, 45, 69, 89, 115, 207, 267, 345, 445, 801, 1035, 1335, 2047, 4005, 6141, 10235, 18423, 30705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92100 and 92115. The biggest common factor number is the GCF number.
So the greatest common factor 92100 and 92115 is 15.

Also check out the Least Common Multiple of 92100 and 92115