What is the Greatest Common Factor of 92274 and 92288?

Greatest common factor (GCF) of 92274 and 92288 is 14.

GCF(92274,92288) = 14

We will now calculate the prime factors of 92274 and 92288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92274 and 92288.

How to find the GCF of 92274 and 92288?

We will first find the prime factorization of 92274 and 92288. After we will calculate the factors of 92274 and 92288 and find the biggest common factor number .

Step-1: Prime Factorization of 92274

Prime factors of 92274 are 2, 3, 7, 13. Prime factorization of 92274 in exponential form is:

92274 = 2¹ × 3¹ × 7¹ × 13³

Step-2: Prime Factorization of 92288

Prime factors of 92288 are 2, 7, 103. Prime factorization of 92288 in exponential form is:

92288 = 2⁷ × 7¹ × 103¹

Step-3: Factors of 92274

List of positive integer factors of 92274 that divides 92274 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2197, 2366, 3549, 4394, 6591, 7098, 13182, 15379, 30758, 46137

Step-4: Factors of 92288

List of positive integer factors of 92288 that divides 92274 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 103, 112, 128, 206, 224, 412, 448, 721, 824, 896, 1442, 1648, 2884, 3296, 5768, 6592, 11536, 13184, 23072, 46144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92274 and 92288. The biggest common factor number is the GCF number.
So the greatest common factor 92274 and 92288 is 14.

Also check out the Least Common Multiple of 92274 and 92288