What is the Greatest Common Factor of 92260 and 92267?

Greatest common factor (GCF) of 92260 and 92267 is 7.

GCF(92260,92267) = 7

We will now calculate the prime factors of 92260 and 92267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92260 and 92267.

How to find the GCF of 92260 and 92267?

We will first find the prime factorization of 92260 and 92267. After we will calculate the factors of 92260 and 92267 and find the biggest common factor number .

Step-1: Prime Factorization of 92260

Prime factors of 92260 are 2, 5, 7, 659. Prime factorization of 92260 in exponential form is:

92260 = 2² × 5¹ × 7¹ × 659¹

Step-2: Prime Factorization of 92267

Prime factors of 92267 are 7, 269. Prime factorization of 92267 in exponential form is:

92267 = 7³ × 269¹

Step-3: Factors of 92260

List of positive integer factors of 92260 that divides 92260 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 659, 1318, 2636, 3295, 4613, 6590, 9226, 13180, 18452, 23065, 46130

Step-4: Factors of 92267

List of positive integer factors of 92267 that divides 92260 without a remainder.

1, 7, 49, 269, 343, 1883, 13181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92260 and 92267. The biggest common factor number is the GCF number.
So the greatest common factor 92260 and 92267 is 7.

Also check out the Least Common Multiple of 92260 and 92267