What is the Greatest Common Factor of 4678 and 4698?

Greatest common factor (GCF) of 4678 and 4698 is 2.

GCF(4678,4698) = 2

We will now calculate the prime factors of 4678 and 4698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4678 and 4698.

How to find the GCF of 4678 and 4698?

We will first find the prime factorization of 4678 and 4698. After we will calculate the factors of 4678 and 4698 and find the biggest common factor number .

Step-1: Prime Factorization of 4678

Prime factors of 4678 are 2, 2339. Prime factorization of 4678 in exponential form is:

4678 = 2¹ × 2339¹

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 4678

List of positive integer factors of 4678 that divides 4678 without a remainder.

1, 2, 2339

Step-4: Factors of 4698

List of positive integer factors of 4698 that divides 4678 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 4678 and 4698. The biggest common factor number is the GCF number.
So the greatest common factor 4678 and 4698 is 2.

Also check out the Least Common Multiple of 4678 and 4698