What is the Greatest Common Factor of 92115 and 92130?

Greatest common factor (GCF) of 92115 and 92130 is 15.

GCF(92115,92130) = 15

We will now calculate the prime factors of 92115 and 92130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92115 and 92130.

How to find the GCF of 92115 and 92130?

We will first find the prime factorization of 92115 and 92130. After we will calculate the factors of 92115 and 92130 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 92130

Prime factors of 92130 are 2, 3, 5, 37, 83. Prime factorization of 92130 in exponential form is:

92130 = 2¹ × 3¹ × 5¹ × 37¹ × 83¹

Step-3: Factors of 92115

List of positive integer factors of 92115 that divides 92115 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

Step-4: Factors of 92130

List of positive integer factors of 92130 that divides 92115 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 83, 111, 166, 185, 222, 249, 370, 415, 498, 555, 830, 1110, 1245, 2490, 3071, 6142, 9213, 15355, 18426, 30710, 46065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92115 and 92130. The biggest common factor number is the GCF number.
So the greatest common factor 92115 and 92130 is 15.

Also check out the Least Common Multiple of 92115 and 92130