What is the Greatest Common Factor of 32117 and 32121?

Greatest common factor (GCF) of 32117 and 32121 is 1.

GCF(32117,32121) = 1

We will now calculate the prime factors of 32117 and 32121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32117 and 32121.

How to find the GCF of 32117 and 32121?

We will first find the prime factorization of 32117 and 32121. After we will calculate the factors of 32117 and 32121 and find the biggest common factor number .

Step-1: Prime Factorization of 32117

Prime factors of 32117 are 32117. Prime factorization of 32117 in exponential form is:

32117 = 32117¹

Step-2: 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-3: Factors of 32117

List of positive integer factors of 32117 that divides 32117 without a remainder.

Step-4: Factors of 32121

List of positive integer factors of 32121 that divides 32117 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32117 and 32121. The biggest common factor number is the GCF number.
So the greatest common factor 32117 and 32121 is 1.

Also check out the Least Common Multiple of 32117 and 32121