What is the Greatest Common Factor of 32034 and 32054?

Greatest common factor (GCF) of 32034 and 32054 is 2.

GCF(32034,32054) = 2

We will now calculate the prime factors of 32034 and 32054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32034 and 32054.

How to find the GCF of 32034 and 32054?

We will first find the prime factorization of 32034 and 32054. After we will calculate the factors of 32034 and 32054 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 32054

Prime factors of 32054 are 2, 11, 31, 47. Prime factorization of 32054 in exponential form is:

32054 = 2¹ × 11¹ × 31¹ × 47¹

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 32054

List of positive integer factors of 32054 that divides 32034 without a remainder.

1, 2, 11, 22, 31, 47, 62, 94, 341, 517, 682, 1034, 1457, 2914, 16027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32034 and 32054. The biggest common factor number is the GCF number.
So the greatest common factor 32034 and 32054 is 2.

Also check out the Least Common Multiple of 32034 and 32054