What is the Greatest Common Factor of 43319 and 43332?

Greatest common factor (GCF) of 43319 and 43332 is 1.

GCF(43319,43332) = 1

We will now calculate the prime factors of 43319 and 43332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43319 and 43332.

How to find the GCF of 43319 and 43332?

We will first find the prime factorization of 43319 and 43332. After we will calculate the factors of 43319 and 43332 and find the biggest common factor number .

Step-1: Prime Factorization of 43319

Prime factors of 43319 are 43319. Prime factorization of 43319 in exponential form is:

43319 = 43319¹

Step-2: Prime Factorization of 43332

Prime factors of 43332 are 2, 3, 23, 157. Prime factorization of 43332 in exponential form is:

43332 = 2² × 3¹ × 23¹ × 157¹

Step-3: Factors of 43319

List of positive integer factors of 43319 that divides 43319 without a remainder.

Step-4: Factors of 43332

List of positive integer factors of 43332 that divides 43319 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 157, 276, 314, 471, 628, 942, 1884, 3611, 7222, 10833, 14444, 21666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43319 and 43332. The biggest common factor number is the GCF number.
So the greatest common factor 43319 and 43332 is 1.

Also check out the Least Common Multiple of 43319 and 43332