What is the Greatest Common Factor of 4316 and 4336?

Greatest common factor (GCF) of 4316 and 4336 is 4.

GCF(4316,4336) = 4

We will now calculate the prime factors of 4316 and 4336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4316 and 4336.

How to find the GCF of 4316 and 4336?

We will first find the prime factorization of 4316 and 4336. After we will calculate the factors of 4316 and 4336 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4336

Prime factors of 4336 are 2, 271. Prime factorization of 4336 in exponential form is:

4336 = 2⁴ × 271¹

Step-3: Factors of 4316

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

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

Step-4: Factors of 4336

List of positive integer factors of 4336 that divides 4316 without a remainder.

1, 2, 4, 8, 16, 271, 542, 1084, 2168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4316 and 4336. The biggest common factor number is the GCF number.
So the greatest common factor 4316 and 4336 is 4.

Also check out the Least Common Multiple of 4316 and 4336