What is the Greatest Common Factor of 96343 and 96356?

Greatest common factor (GCF) of 96343 and 96356 is 13.

GCF(96343,96356) = 13

We will now calculate the prime factors of 96343 and 96356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96343 and 96356.

How to find the GCF of 96343 and 96356?

We will first find the prime factorization of 96343 and 96356. After we will calculate the factors of 96343 and 96356 and find the biggest common factor number .

Step-1: Prime Factorization of 96343

Prime factors of 96343 are 13, 7411. Prime factorization of 96343 in exponential form is:

96343 = 13¹ × 7411¹

Step-2: Prime Factorization of 96356

Prime factors of 96356 are 2, 13, 17, 109. Prime factorization of 96356 in exponential form is:

96356 = 2² × 13¹ × 17¹ × 109¹

Step-3: Factors of 96343

List of positive integer factors of 96343 that divides 96343 without a remainder.

1, 13, 7411

Step-4: Factors of 96356

List of positive integer factors of 96356 that divides 96343 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 109, 218, 221, 436, 442, 884, 1417, 1853, 2834, 3706, 5668, 7412, 24089, 48178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96343 and 96356. The biggest common factor number is the GCF number.
So the greatest common factor 96343 and 96356 is 13.

Also check out the Least Common Multiple of 96343 and 96356