What is the Greatest Common Factor of 34032 and 34050?

Greatest common factor (GCF) of 34032 and 34050 is 6.

GCF(34032,34050) = 6

We will now calculate the prime factors of 34032 and 34050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34032 and 34050.

How to find the GCF of 34032 and 34050?

We will first find the prime factorization of 34032 and 34050. After we will calculate the factors of 34032 and 34050 and find the biggest common factor number .

Step-1: Prime Factorization of 34032

Prime factors of 34032 are 2, 3, 709. Prime factorization of 34032 in exponential form is:

34032 = 2⁴ × 3¹ × 709¹

Step-2: Prime Factorization of 34050

Prime factors of 34050 are 2, 3, 5, 227. Prime factorization of 34050 in exponential form is:

34050 = 2¹ × 3¹ × 5² × 227¹

Step-3: Factors of 34032

List of positive integer factors of 34032 that divides 34032 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 709, 1418, 2127, 2836, 4254, 5672, 8508, 11344, 17016

Step-4: Factors of 34050

List of positive integer factors of 34050 that divides 34032 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 227, 454, 681, 1135, 1362, 2270, 3405, 5675, 6810, 11350, 17025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34032 and 34050. The biggest common factor number is the GCF number.
So the greatest common factor 34032 and 34050 is 6.

Also check out the Least Common Multiple of 34032 and 34050