What is the Greatest Common Factor of 4300 and 4316?

Greatest common factor (GCF) of 4300 and 4316 is 4.

GCF(4300,4316) = 4

We will now calculate the prime factors of 4300 and 4316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4300 and 4316.

How to find the GCF of 4300 and 4316?

We will first find the prime factorization of 4300 and 4316. After we will calculate the factors of 4300 and 4316 and find the biggest common factor number .

Step-1: Prime Factorization of 4300

Prime factors of 4300 are 2, 5, 43. Prime factorization of 4300 in exponential form is:

4300 = 2² × 5² × 43¹

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 4300

List of positive integer factors of 4300 that divides 4300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 172, 215, 430, 860, 1075, 2150

Step-4: Factors of 4316

List of positive integer factors of 4316 that divides 4300 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 4300 and 4316. The biggest common factor number is the GCF number.
So the greatest common factor 4300 and 4316 is 4.

Also check out the Least Common Multiple of 4300 and 4316