What is the Greatest Common Factor of 43340 and 43350?

Greatest common factor (GCF) of 43340 and 43350 is 10.

GCF(43340,43350) = 10

We will now calculate the prime factors of 43340 and 43350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43340 and 43350.

How to find the GCF of 43340 and 43350?

We will first find the prime factorization of 43340 and 43350. After we will calculate the factors of 43340 and 43350 and find the biggest common factor number .

Step-1: Prime Factorization of 43340

Prime factors of 43340 are 2, 5, 11, 197. Prime factorization of 43340 in exponential form is:

43340 = 2² × 5¹ × 11¹ × 197¹

Step-2: Prime Factorization of 43350

Prime factors of 43350 are 2, 3, 5, 17. Prime factorization of 43350 in exponential form is:

43350 = 2¹ × 3¹ × 5² × 17²

Step-3: Factors of 43340

List of positive integer factors of 43340 that divides 43340 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 197, 220, 394, 788, 985, 1970, 2167, 3940, 4334, 8668, 10835, 21670

Step-4: Factors of 43350

List of positive integer factors of 43350 that divides 43340 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 25, 30, 34, 50, 51, 75, 85, 102, 150, 170, 255, 289, 425, 510, 578, 850, 867, 1275, 1445, 1734, 2550, 2890, 4335, 7225, 8670, 14450, 21675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43340 and 43350. The biggest common factor number is the GCF number.
So the greatest common factor 43340 and 43350 is 10.

Also check out the Least Common Multiple of 43340 and 43350