What is the Greatest Common Factor of 94256 and 94268?

Greatest common factor (GCF) of 94256 and 94268 is 4.

GCF(94256,94268) = 4

We will now calculate the prime factors of 94256 and 94268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94256 and 94268.

How to find the GCF of 94256 and 94268?

We will first find the prime factorization of 94256 and 94268. After we will calculate the factors of 94256 and 94268 and find the biggest common factor number .

Step-1: Prime Factorization of 94256

Prime factors of 94256 are 2, 43, 137. Prime factorization of 94256 in exponential form is:

94256 = 2⁴ × 43¹ × 137¹

Step-2: Prime Factorization of 94268

Prime factors of 94268 are 2, 23567. Prime factorization of 94268 in exponential form is:

94268 = 2² × 23567¹

Step-3: Factors of 94256

List of positive integer factors of 94256 that divides 94256 without a remainder.

1, 2, 4, 8, 16, 43, 86, 137, 172, 274, 344, 548, 688, 1096, 2192, 5891, 11782, 23564, 47128

Step-4: Factors of 94268

List of positive integer factors of 94268 that divides 94256 without a remainder.

1, 2, 4, 23567, 47134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94256 and 94268. The biggest common factor number is the GCF number.
So the greatest common factor 94256 and 94268 is 4.

Also check out the Least Common Multiple of 94256 and 94268