What is the Greatest Common Factor of 94284 and 94292?

Greatest common factor (GCF) of 94284 and 94292 is 4.

GCF(94284,94292) = 4

We will now calculate the prime factors of 94284 and 94292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94284 and 94292.

How to find the GCF of 94284 and 94292?

We will first find the prime factorization of 94284 and 94292. After we will calculate the factors of 94284 and 94292 and find the biggest common factor number .

Step-1: Prime Factorization of 94284

Prime factors of 94284 are 2, 3, 97. Prime factorization of 94284 in exponential form is:

94284 = 2² × 3⁵ × 97¹

Step-2: Prime Factorization of 94292

Prime factors of 94292 are 2, 11, 2143. Prime factorization of 94292 in exponential form is:

94292 = 2² × 11¹ × 2143¹

Step-3: Factors of 94284

List of positive integer factors of 94284 that divides 94284 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 97, 108, 162, 194, 243, 291, 324, 388, 486, 582, 873, 972, 1164, 1746, 2619, 3492, 5238, 7857, 10476, 15714, 23571, 31428, 47142

Step-4: Factors of 94292

List of positive integer factors of 94292 that divides 94284 without a remainder.

1, 2, 4, 11, 22, 44, 2143, 4286, 8572, 23573, 47146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94284 and 94292. The biggest common factor number is the GCF number.
So the greatest common factor 94284 and 94292 is 4.

Also check out the Least Common Multiple of 94284 and 94292