What is the Greatest Common Factor of 32021 and 32034?

Greatest common factor (GCF) of 32021 and 32034 is 1.

GCF(32021,32034) = 1

We will now calculate the prime factors of 32021 and 32034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32021 and 32034.

How to find the GCF of 32021 and 32034?

We will first find the prime factorization of 32021 and 32034. After we will calculate the factors of 32021 and 32034 and find the biggest common factor number .

Step-1: Prime Factorization of 32021

Prime factors of 32021 are 11, 41, 71. Prime factorization of 32021 in exponential form is:

32021 = 11¹ × 41¹ × 71¹

Step-2: 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-3: Factors of 32021

List of positive integer factors of 32021 that divides 32021 without a remainder.

1, 11, 41, 71, 451, 781, 2911

Step-4: Factors of 32034

List of positive integer factors of 32034 that divides 32021 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32021 and 32034. The biggest common factor number is the GCF number.
So the greatest common factor 32021 and 32034 is 1.

Also check out the Least Common Multiple of 32021 and 32034