What is the Greatest Common Factor of 4300 and 4307?

Greatest common factor (GCF) of 4300 and 4307 is 1.

GCF(4300,4307) = 1

We will now calculate the prime factors of 4300 and 4307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4300 and 4307.

How to find the GCF of 4300 and 4307?

We will first find the prime factorization of 4300 and 4307. After we will calculate the factors of 4300 and 4307 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 4307

Prime factors of 4307 are 59, 73. Prime factorization of 4307 in exponential form is:

4307 = 59¹ × 73¹

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 4307

List of positive integer factors of 4307 that divides 4300 without a remainder.

1, 59, 73

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4300 and 4307. The biggest common factor number is the GCF number.
So the greatest common factor 4300 and 4307 is 1.

Also check out the Least Common Multiple of 4300 and 4307