What is the Greatest Common Factor of 4278 and 4288?

Greatest common factor (GCF) of 4278 and 4288 is 2.

GCF(4278,4288) = 2

We will now calculate the prime factors of 4278 and 4288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4278 and 4288.

How to find the GCF of 4278 and 4288?

We will first find the prime factorization of 4278 and 4288. After we will calculate the factors of 4278 and 4288 and find the biggest common factor number .

Step-1: Prime Factorization of 4278

Prime factors of 4278 are 2, 3, 23, 31. Prime factorization of 4278 in exponential form is:

4278 = 2¹ × 3¹ × 23¹ × 31¹

Step-2: Prime Factorization of 4288

Prime factors of 4288 are 2, 67. Prime factorization of 4288 in exponential form is:

4288 = 2⁶ × 67¹

Step-3: Factors of 4278

List of positive integer factors of 4278 that divides 4278 without a remainder.

1, 2, 3, 6, 23, 31, 46, 62, 69, 93, 138, 186, 713, 1426, 2139

Step-4: Factors of 4288

List of positive integer factors of 4288 that divides 4278 without a remainder.

1, 2, 4, 8, 16, 32, 64, 67, 134, 268, 536, 1072, 2144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4278 and 4288. The biggest common factor number is the GCF number.
So the greatest common factor 4278 and 4288 is 2.

Also check out the Least Common Multiple of 4278 and 4288