What is the Greatest Common Factor of 34200 and 34217?

Greatest common factor (GCF) of 34200 and 34217 is 1.

GCF(34200,34217) = 1

We will now calculate the prime factors of 34200 and 34217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34200 and 34217.

How to find the GCF of 34200 and 34217?

We will first find the prime factorization of 34200 and 34217. After we will calculate the factors of 34200 and 34217 and find the biggest common factor number .

Step-1: Prime Factorization of 34200

Prime factors of 34200 are 2, 3, 5, 19. Prime factorization of 34200 in exponential form is:

34200 = 2³ × 3² × 5² × 19¹

Step-2: Prime Factorization of 34217

Prime factors of 34217 are 34217. Prime factorization of 34217 in exponential form is:

34217 = 34217¹

Step-3: Factors of 34200

List of positive integer factors of 34200 that divides 34200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 25, 30, 36, 38, 40, 45, 50, 57, 60, 72, 75, 76, 90, 95, 100, 114, 120, 150, 152, 171, 180, 190, 200, 225, 228, 285, 300, 342, 360, 380, 450, 456, 475, 570, 600, 684, 760, 855, 900, 950, 1140, 1368, 1425, 1710, 1800, 1900, 2280, 2850, 3420, 3800, 4275, 5700, 6840, 8550, 11400, 17100

Step-4: Factors of 34217

List of positive integer factors of 34217 that divides 34200 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34200 and 34217. The biggest common factor number is the GCF number.
So the greatest common factor 34200 and 34217 is 1.

Also check out the Least Common Multiple of 34200 and 34217