What is the Greatest Common Factor of 43350 and 43370?

Greatest common factor (GCF) of 43350 and 43370 is 10.

GCF(43350,43370) = 10

We will now calculate the prime factors of 43350 and 43370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43350 and 43370.

How to find the GCF of 43350 and 43370?

We will first find the prime factorization of 43350 and 43370. After we will calculate the factors of 43350 and 43370 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43370

Prime factors of 43370 are 2, 5, 4337. Prime factorization of 43370 in exponential form is:

43370 = 2¹ × 5¹ × 4337¹

Step-3: Factors of 43350

List of positive integer factors of 43350 that divides 43350 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

Step-4: Factors of 43370

List of positive integer factors of 43370 that divides 43350 without a remainder.

1, 2, 5, 10, 4337, 8674, 21685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43350 and 43370. The biggest common factor number is the GCF number.
So the greatest common factor 43350 and 43370 is 10.

Also check out the Least Common Multiple of 43350 and 43370