What is the Greatest Common Factor of 4688 and 4698?

Greatest common factor (GCF) of 4688 and 4698 is 2.

GCF(4688,4698) = 2

We will now calculate the prime factors of 4688 and 4698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4688 and 4698.

How to find the GCF of 4688 and 4698?

We will first find the prime factorization of 4688 and 4698. After we will calculate the factors of 4688 and 4698 and find the biggest common factor number .

Step-1: Prime Factorization of 4688

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

4688 = 2⁴ × 293¹

Step-2: Prime Factorization of 4698

Prime factors of 4698 are 2, 3, 29. Prime factorization of 4698 in exponential form is:

4698 = 2¹ × 3⁴ × 29¹

Step-3: Factors of 4688

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

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

Step-4: Factors of 4698

List of positive integer factors of 4698 that divides 4688 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 261, 522, 783, 1566, 2349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4688 and 4698. The biggest common factor number is the GCF number.
So the greatest common factor 4688 and 4698 is 2.

Also check out the Least Common Multiple of 4688 and 4698