What is the Greatest Common Factor of 4288 and 4301?

Greatest common factor (GCF) of 4288 and 4301 is 1.

GCF(4288,4301) = 1

We will now calculate the prime factors of 4288 and 4301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4288 and 4301.

How to find the GCF of 4288 and 4301?

We will first find the prime factorization of 4288 and 4301. After we will calculate the factors of 4288 and 4301 and find the biggest common factor number .

Step-1: Prime Factorization of 4288

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

4288 = 2⁶ × 67¹

Step-2: Prime Factorization of 4301

Prime factors of 4301 are 11, 17, 23. Prime factorization of 4301 in exponential form is:

4301 = 11¹ × 17¹ × 23¹

Step-3: Factors of 4288

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

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

Step-4: Factors of 4301

List of positive integer factors of 4301 that divides 4288 without a remainder.

1, 11, 17, 23, 187, 253, 391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4288 and 4301. The biggest common factor number is the GCF number.
So the greatest common factor 4288 and 4301 is 1.

Also check out the Least Common Multiple of 4288 and 4301