What is the Greatest Common Factor of 4298 and 4316?

Greatest common factor (GCF) of 4298 and 4316 is 2.

GCF(4298,4316) = 2

We will now calculate the prime factors of 4298 and 4316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4298 and 4316.

How to find the GCF of 4298 and 4316?

We will first find the prime factorization of 4298 and 4316. After we will calculate the factors of 4298 and 4316 and find the biggest common factor number .

Step-1: Prime Factorization of 4298

Prime factors of 4298 are 2, 7, 307. Prime factorization of 4298 in exponential form is:

4298 = 2¹ × 7¹ × 307¹

Step-2: Prime Factorization of 4316

Prime factors of 4316 are 2, 13, 83. Prime factorization of 4316 in exponential form is:

4316 = 2² × 13¹ × 83¹

Step-3: Factors of 4298

List of positive integer factors of 4298 that divides 4298 without a remainder.

1, 2, 7, 14, 307, 614, 2149

Step-4: Factors of 4316

List of positive integer factors of 4316 that divides 4298 without a remainder.

1, 2, 4, 13, 26, 52, 83, 166, 332, 1079, 2158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4298 and 4316. The biggest common factor number is the GCF number.
So the greatest common factor 4298 and 4316 is 2.

Also check out the Least Common Multiple of 4298 and 4316