What is the Greatest Common Factor of 92108 and 92112?

Greatest common factor (GCF) of 92108 and 92112 is 4.

GCF(92108,92112) = 4

We will now calculate the prime factors of 92108 and 92112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92108 and 92112.

How to find the GCF of 92108 and 92112?

We will first find the prime factorization of 92108 and 92112. After we will calculate the factors of 92108 and 92112 and find the biggest common factor number .

Step-1: Prime Factorization of 92108

Prime factors of 92108 are 2, 23027. Prime factorization of 92108 in exponential form is:

92108 = 2² × 23027¹

Step-2: Prime Factorization of 92112

Prime factors of 92112 are 2, 3, 19, 101. Prime factorization of 92112 in exponential form is:

92112 = 2⁴ × 3¹ × 19¹ × 101¹

Step-3: Factors of 92108

List of positive integer factors of 92108 that divides 92108 without a remainder.

1, 2, 4, 23027, 46054

Step-4: Factors of 92112

List of positive integer factors of 92112 that divides 92108 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 101, 114, 152, 202, 228, 303, 304, 404, 456, 606, 808, 912, 1212, 1616, 1919, 2424, 3838, 4848, 5757, 7676, 11514, 15352, 23028, 30704, 46056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92108 and 92112. The biggest common factor number is the GCF number.
So the greatest common factor 92108 and 92112 is 4.

Also check out the Least Common Multiple of 92108 and 92112