What is the Greatest Common Factor of 32034 and 32053?

Greatest common factor (GCF) of 32034 and 32053 is 19.

GCF(32034,32053) = 19

We will now calculate the prime factors of 32034 and 32053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32034 and 32053.

How to find the GCF of 32034 and 32053?

We will first find the prime factorization of 32034 and 32053. After we will calculate the factors of 32034 and 32053 and find the biggest common factor number .

Step-1: Prime Factorization of 32034

Prime factors of 32034 are 2, 3, 19, 281. Prime factorization of 32034 in exponential form is:

32034 = 2¹ × 3¹ × 19¹ × 281¹

Step-2: Prime Factorization of 32053

Prime factors of 32053 are 7, 19, 241. Prime factorization of 32053 in exponential form is:

32053 = 7¹ × 19¹ × 241¹

Step-3: Factors of 32034

List of positive integer factors of 32034 that divides 32034 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 281, 562, 843, 1686, 5339, 10678, 16017

Step-4: Factors of 32053

List of positive integer factors of 32053 that divides 32034 without a remainder.

1, 7, 19, 133, 241, 1687, 4579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32034 and 32053. The biggest common factor number is the GCF number.
So the greatest common factor 32034 and 32053 is 19.

Also check out the Least Common Multiple of 32034 and 32053