What is the Greatest Common Factor of 4675 and 4688?

Greatest common factor (GCF) of 4675 and 4688 is 1.

GCF(4675,4688) = 1

We will now calculate the prime factors of 4675 and 4688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4675 and 4688.

How to find the GCF of 4675 and 4688?

We will first find the prime factorization of 4675 and 4688. After we will calculate the factors of 4675 and 4688 and find the biggest common factor number .

Step-1: Prime Factorization of 4675

Prime factors of 4675 are 5, 11, 17. Prime factorization of 4675 in exponential form is:

4675 = 5² × 11¹ × 17¹

Step-2: Prime Factorization of 4688

Prime factors of 4688 are 2, 293. Prime factorization of 4688 in exponential form is:

4688 = 2⁴ × 293¹

Step-3: Factors of 4675

List of positive integer factors of 4675 that divides 4675 without a remainder.

1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935

Step-4: Factors of 4688

List of positive integer factors of 4688 that divides 4675 without a remainder.

1, 2, 4, 8, 16, 293, 586, 1172, 2344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4675 and 4688. The biggest common factor number is the GCF number.
So the greatest common factor 4675 and 4688 is 1.

Also check out the Least Common Multiple of 4675 and 4688