What is the Greatest Common Factor of 32034 and 32040?

Greatest common factor (GCF) of 32034 and 32040 is 6.

GCF(32034,32040) = 6

We will now calculate the prime factors of 32034 and 32040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32034 and 32040.

How to find the GCF of 32034 and 32040?

We will first find the prime factorization of 32034 and 32040. After we will calculate the factors of 32034 and 32040 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 32040

Prime factors of 32040 are 2, 3, 5, 89. Prime factorization of 32040 in exponential form is:

32040 = 2³ × 3² × 5¹ × 89¹

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 32040

List of positive integer factors of 32040 that divides 32034 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 89, 90, 120, 178, 180, 267, 356, 360, 445, 534, 712, 801, 890, 1068, 1335, 1602, 1780, 2136, 2670, 3204, 3560, 4005, 5340, 6408, 8010, 10680, 16020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32034 and 32040. The biggest common factor number is the GCF number.
So the greatest common factor 32034 and 32040 is 6.

Also check out the Least Common Multiple of 32034 and 32040