What is the Greatest Common Factor of 32025 and 32034?

Greatest common factor (GCF) of 32025 and 32034 is 3.

GCF(32025,32034) = 3

We will now calculate the prime factors of 32025 and 32034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32025 and 32034.

How to find the GCF of 32025 and 32034?

We will first find the prime factorization of 32025 and 32034. After we will calculate the factors of 32025 and 32034 and find the biggest common factor number .

Step-1: Prime Factorization of 32025

Prime factors of 32025 are 3, 5, 7, 61. Prime factorization of 32025 in exponential form is:

32025 = 3¹ × 5² × 7¹ × 61¹

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 32025

List of positive integer factors of 32025 that divides 32025 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 61, 75, 105, 175, 183, 305, 427, 525, 915, 1281, 1525, 2135, 4575, 6405, 10675

Step-4: Factors of 32034

List of positive integer factors of 32034 that divides 32025 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 32025 and 32034. The biggest common factor number is the GCF number.
So the greatest common factor 32025 and 32034 is 3.

Also check out the Least Common Multiple of 32025 and 32034