What is the Greatest Common Factor of 92414 and 92428?

Greatest common factor (GCF) of 92414 and 92428 is 14.

GCF(92414,92428) = 14

We will now calculate the prime factors of 92414 and 92428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92414 and 92428.

How to find the GCF of 92414 and 92428?

We will first find the prime factorization of 92414 and 92428. After we will calculate the factors of 92414 and 92428 and find the biggest common factor number .

Step-1: Prime Factorization of 92414

Prime factors of 92414 are 2, 7, 23, 41. Prime factorization of 92414 in exponential form is:

92414 = 2¹ × 7² × 23¹ × 41¹

Step-2: Prime Factorization of 92428

Prime factors of 92428 are 2, 7, 3301. Prime factorization of 92428 in exponential form is:

92428 = 2² × 7¹ × 3301¹

Step-3: Factors of 92414

List of positive integer factors of 92414 that divides 92414 without a remainder.

1, 2, 7, 14, 23, 41, 46, 49, 82, 98, 161, 287, 322, 574, 943, 1127, 1886, 2009, 2254, 4018, 6601, 13202, 46207

Step-4: Factors of 92428

List of positive integer factors of 92428 that divides 92414 without a remainder.

1, 2, 4, 7, 14, 28, 3301, 6602, 13204, 23107, 46214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92414 and 92428. The biggest common factor number is the GCF number.
So the greatest common factor 92414 and 92428 is 14.

Also check out the Least Common Multiple of 92414 and 92428