What is the Greatest Common Factor of 32008 and 32025?

Greatest common factor (GCF) of 32008 and 32025 is 1.

GCF(32008,32025) = 1

We will now calculate the prime factors of 32008 and 32025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32008 and 32025.

How to find the GCF of 32008 and 32025?

We will first find the prime factorization of 32008 and 32025. After we will calculate the factors of 32008 and 32025 and find the biggest common factor number .

Step-1: Prime Factorization of 32008

Prime factors of 32008 are 2, 4001. Prime factorization of 32008 in exponential form is:

32008 = 2³ × 4001¹

Step-2: 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-3: Factors of 32008

List of positive integer factors of 32008 that divides 32008 without a remainder.

1, 2, 4, 8, 4001, 8002, 16004

Step-4: Factors of 32025

List of positive integer factors of 32025 that divides 32008 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32008 and 32025. The biggest common factor number is the GCF number.
So the greatest common factor 32008 and 32025 is 1.

Also check out the Least Common Multiple of 32008 and 32025