What is the Greatest Common Factor of 32121 and 32138?

Greatest common factor (GCF) of 32121 and 32138 is 1.

GCF(32121,32138) = 1

We will now calculate the prime factors of 32121 and 32138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32121 and 32138.

How to find the GCF of 32121 and 32138?

We will first find the prime factorization of 32121 and 32138. After we will calculate the factors of 32121 and 32138 and find the biggest common factor number .

Step-1: Prime Factorization of 32121

Prime factors of 32121 are 3, 43, 83. Prime factorization of 32121 in exponential form is:

32121 = 3² × 43¹ × 83¹

Step-2: Prime Factorization of 32138

Prime factors of 32138 are 2, 16069. Prime factorization of 32138 in exponential form is:

32138 = 2¹ × 16069¹

Step-3: Factors of 32121

List of positive integer factors of 32121 that divides 32121 without a remainder.

1, 3, 9, 43, 83, 129, 249, 387, 747, 3569, 10707

Step-4: Factors of 32138

List of positive integer factors of 32138 that divides 32121 without a remainder.

1, 2, 16069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32121 and 32138. The biggest common factor number is the GCF number.
So the greatest common factor 32121 and 32138 is 1.

Also check out the Least Common Multiple of 32121 and 32138