What is the Greatest Common Factor of 32020 and 32034?

Greatest common factor (GCF) of 32020 and 32034 is 2.

GCF(32020,32034) = 2

We will now calculate the prime factors of 32020 and 32034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32020 and 32034.

How to find the GCF of 32020 and 32034?

We will first find the prime factorization of 32020 and 32034. After we will calculate the factors of 32020 and 32034 and find the biggest common factor number .

Step-1: Prime Factorization of 32020

Prime factors of 32020 are 2, 5, 1601. Prime factorization of 32020 in exponential form is:

32020 = 2² × 5¹ × 1601¹

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 32020

List of positive integer factors of 32020 that divides 32020 without a remainder.

1, 2, 4, 5, 10, 20, 1601, 3202, 6404, 8005, 16010

Step-4: Factors of 32034

List of positive integer factors of 32034 that divides 32020 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 32020 and 32034. The biggest common factor number is the GCF number.
So the greatest common factor 32020 and 32034 is 2.

Also check out the Least Common Multiple of 32020 and 32034