What is the Greatest Common Factor of 34032 and 34042?

Greatest common factor (GCF) of 34032 and 34042 is 2.

GCF(34032,34042) = 2

We will now calculate the prime factors of 34032 and 34042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34032 and 34042.

How to find the GCF of 34032 and 34042?

We will first find the prime factorization of 34032 and 34042. After we will calculate the factors of 34032 and 34042 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 34042

Prime factors of 34042 are 2, 17021. Prime factorization of 34042 in exponential form is:

34042 = 2¹ × 17021¹

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 34042

List of positive integer factors of 34042 that divides 34032 without a remainder.

1, 2, 17021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34032 and 34042. The biggest common factor number is the GCF number.
So the greatest common factor 34032 and 34042 is 2.

Also check out the Least Common Multiple of 34032 and 34042