What is the Greatest Common Factor of 32009 and 32025?

Greatest common factor (GCF) of 32009 and 32025 is 1.

GCF(32009,32025) = 1

We will now calculate the prime factors of 32009 and 32025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32009 and 32025.

How to find the GCF of 32009 and 32025?

We will first find the prime factorization of 32009 and 32025. After we will calculate the factors of 32009 and 32025 and find the biggest common factor number .

Step-1: Prime Factorization of 32009

Prime factors of 32009 are 32009. Prime factorization of 32009 in exponential form is:

32009 = 32009¹

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 32009

List of positive integer factors of 32009 that divides 32009 without a remainder.

Step-4: Factors of 32025

List of positive integer factors of 32025 that divides 32009 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 32009 and 32025. The biggest common factor number is the GCF number.
So the greatest common factor 32009 and 32025 is 1.

Also check out the Least Common Multiple of 32009 and 32025