What is the Greatest Common Factor of 32109 and 32113?

Greatest common factor (GCF) of 32109 and 32113 is 1.

GCF(32109,32113) = 1

We will now calculate the prime factors of 32109 and 32113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32109 and 32113.

How to find the GCF of 32109 and 32113?

We will first find the prime factorization of 32109 and 32113. After we will calculate the factors of 32109 and 32113 and find the biggest common factor number .

Step-1: Prime Factorization of 32109

Prime factors of 32109 are 3, 7, 11, 139. Prime factorization of 32109 in exponential form is:

32109 = 3¹ × 7¹ × 11¹ × 139¹

Step-2: Prime Factorization of 32113

Prime factors of 32113 are 17, 1889. Prime factorization of 32113 in exponential form is:

32113 = 17¹ × 1889¹

Step-3: Factors of 32109

List of positive integer factors of 32109 that divides 32109 without a remainder.

1, 3, 7, 11, 21, 33, 77, 139, 231, 417, 973, 1529, 2919, 4587, 10703

Step-4: Factors of 32113

List of positive integer factors of 32113 that divides 32109 without a remainder.

1, 17, 1889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32109 and 32113. The biggest common factor number is the GCF number.
So the greatest common factor 32109 and 32113 is 1.

Also check out the Least Common Multiple of 32109 and 32113