What is the Greatest Common Factor of 92358 and 92372?

Greatest common factor (GCF) of 92358 and 92372 is 14.

GCF(92358,92372) = 14

We will now calculate the prime factors of 92358 and 92372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92358 and 92372.

How to find the GCF of 92358 and 92372?

We will first find the prime factorization of 92358 and 92372. After we will calculate the factors of 92358 and 92372 and find the biggest common factor number .

Step-1: Prime Factorization of 92358

Prime factors of 92358 are 2, 3, 7, 733. Prime factorization of 92358 in exponential form is:

92358 = 2¹ × 3² × 7¹ × 733¹

Step-2: Prime Factorization of 92372

Prime factors of 92372 are 2, 7, 3299. Prime factorization of 92372 in exponential form is:

92372 = 2² × 7¹ × 3299¹

Step-3: Factors of 92358

List of positive integer factors of 92358 that divides 92358 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 733, 1466, 2199, 4398, 5131, 6597, 10262, 13194, 15393, 30786, 46179

Step-4: Factors of 92372

List of positive integer factors of 92372 that divides 92358 without a remainder.

1, 2, 4, 7, 14, 28, 3299, 6598, 13196, 23093, 46186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92358 and 92372. The biggest common factor number is the GCF number.
So the greatest common factor 92358 and 92372 is 14.

Also check out the Least Common Multiple of 92358 and 92372