What is the Greatest Common Factor of 94272 and 94287?

Greatest common factor (GCF) of 94272 and 94287 is 3.

GCF(94272,94287) = 3

We will now calculate the prime factors of 94272 and 94287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94272 and 94287.

How to find the GCF of 94272 and 94287?

We will first find the prime factorization of 94272 and 94287. After we will calculate the factors of 94272 and 94287 and find the biggest common factor number .

Step-1: Prime Factorization of 94272

Prime factors of 94272 are 2, 3, 491. Prime factorization of 94272 in exponential form is:

94272 = 2⁶ × 3¹ × 491¹

Step-2: Prime Factorization of 94287

Prime factors of 94287 are 3, 53, 593. Prime factorization of 94287 in exponential form is:

94287 = 3¹ × 53¹ × 593¹

Step-3: Factors of 94272

List of positive integer factors of 94272 that divides 94272 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 491, 982, 1473, 1964, 2946, 3928, 5892, 7856, 11784, 15712, 23568, 31424, 47136

Step-4: Factors of 94287

List of positive integer factors of 94287 that divides 94272 without a remainder.

1, 3, 53, 159, 593, 1779, 31429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94272 and 94287. The biggest common factor number is the GCF number.
So the greatest common factor 94272 and 94287 is 3.

Also check out the Least Common Multiple of 94272 and 94287