What is the Greatest Common Factor of 43309 and 43316?

Greatest common factor (GCF) of 43309 and 43316 is 7.

GCF(43309,43316) = 7

We will now calculate the prime factors of 43309 and 43316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43309 and 43316.

How to find the GCF of 43309 and 43316?

We will first find the prime factorization of 43309 and 43316. After we will calculate the factors of 43309 and 43316 and find the biggest common factor number .

Step-1: Prime Factorization of 43309

Prime factors of 43309 are 7, 23, 269. Prime factorization of 43309 in exponential form is:

43309 = 7¹ × 23¹ × 269¹

Step-2: Prime Factorization of 43316

Prime factors of 43316 are 2, 7, 13, 17. Prime factorization of 43316 in exponential form is:

43316 = 2² × 7² × 13¹ × 17¹

Step-3: Factors of 43309

List of positive integer factors of 43309 that divides 43309 without a remainder.

1, 7, 23, 161, 269, 1883, 6187

Step-4: Factors of 43316

List of positive integer factors of 43316 that divides 43309 without a remainder.

1, 2, 4, 7, 13, 14, 17, 26, 28, 34, 49, 52, 68, 91, 98, 119, 182, 196, 221, 238, 364, 442, 476, 637, 833, 884, 1274, 1547, 1666, 2548, 3094, 3332, 6188, 10829, 21658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43309 and 43316. The biggest common factor number is the GCF number.
So the greatest common factor 43309 and 43316 is 7.

Also check out the Least Common Multiple of 43309 and 43316