What is the Greatest Common Factor of 92148 and 92162?

Greatest common factor (GCF) of 92148 and 92162 is 14.

GCF(92148,92162) = 14

We will now calculate the prime factors of 92148 and 92162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92148 and 92162.

How to find the GCF of 92148 and 92162?

We will first find the prime factorization of 92148 and 92162. After we will calculate the factors of 92148 and 92162 and find the biggest common factor number .

Step-1: Prime Factorization of 92148

Prime factors of 92148 are 2, 3, 7, 1097. Prime factorization of 92148 in exponential form is:

92148 = 2² × 3¹ × 7¹ × 1097¹

Step-2: Prime Factorization of 92162

Prime factors of 92162 are 2, 7, 29, 227. Prime factorization of 92162 in exponential form is:

92162 = 2¹ × 7¹ × 29¹ × 227¹

Step-3: Factors of 92148

List of positive integer factors of 92148 that divides 92148 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 1097, 2194, 3291, 4388, 6582, 7679, 13164, 15358, 23037, 30716, 46074

Step-4: Factors of 92162

List of positive integer factors of 92162 that divides 92148 without a remainder.

1, 2, 7, 14, 29, 58, 203, 227, 406, 454, 1589, 3178, 6583, 13166, 46081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92148 and 92162. The biggest common factor number is the GCF number.
So the greatest common factor 92148 and 92162 is 14.

Also check out the Least Common Multiple of 92148 and 92162