What is the Greatest Common Factor of 32009 and 32026?

Greatest common factor (GCF) of 32009 and 32026 is 1.

GCF(32009,32026) = 1

We will now calculate the prime factors of 32009 and 32026, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32009 and 32026.

How to find the GCF of 32009 and 32026?

We will first find the prime factorization of 32009 and 32026. After we will calculate the factors of 32009 and 32026 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 32026

Prime factors of 32026 are 2, 67, 239. Prime factorization of 32026 in exponential form is:

32026 = 2¹ × 67¹ × 239¹

Step-3: Factors of 32009

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

Step-4: Factors of 32026

List of positive integer factors of 32026 that divides 32009 without a remainder.

1, 2, 67, 134, 239, 478, 16013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32009 and 32026. The biggest common factor number is the GCF number.
So the greatest common factor 32009 and 32026 is 1.

Also check out the Least Common Multiple of 32009 and 32026