What is the Greatest Common Factor of 92100 and 92110?

Greatest common factor (GCF) of 92100 and 92110 is 10.

GCF(92100,92110) = 10

We will now calculate the prime factors of 92100 and 92110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92100 and 92110.

How to find the GCF of 92100 and 92110?

We will first find the prime factorization of 92100 and 92110. After we will calculate the factors of 92100 and 92110 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 92110

Prime factors of 92110 are 2, 5, 61, 151. Prime factorization of 92110 in exponential form is:

92110 = 2¹ × 5¹ × 61¹ × 151¹

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 92110

List of positive integer factors of 92110 that divides 92100 without a remainder.

1, 2, 5, 10, 61, 122, 151, 302, 305, 610, 755, 1510, 9211, 18422, 46055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92100 and 92110. The biggest common factor number is the GCF number.
So the greatest common factor 92100 and 92110 is 10.

Also check out the Least Common Multiple of 92100 and 92110