What is the Greatest Common Factor of 32074 and 32089?

Greatest common factor (GCF) of 32074 and 32089 is 1.

GCF(32074,32089) = 1

We will now calculate the prime factors of 32074 and 32089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32074 and 32089.

How to find the GCF of 32074 and 32089?

We will first find the prime factorization of 32074 and 32089. After we will calculate the factors of 32074 and 32089 and find the biggest common factor number .

Step-1: Prime Factorization of 32074

Prime factors of 32074 are 2, 7, 29, 79. Prime factorization of 32074 in exponential form is:

32074 = 2¹ × 7¹ × 29¹ × 79¹

Step-2: Prime Factorization of 32089

Prime factors of 32089 are 32089. Prime factorization of 32089 in exponential form is:

32089 = 32089¹

Step-3: Factors of 32074

List of positive integer factors of 32074 that divides 32074 without a remainder.

1, 2, 7, 14, 29, 58, 79, 158, 203, 406, 553, 1106, 2291, 4582, 16037

Step-4: Factors of 32089

List of positive integer factors of 32089 that divides 32074 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32074 and 32089. The biggest common factor number is the GCF number.
So the greatest common factor 32074 and 32089 is 1.

Also check out the Least Common Multiple of 32074 and 32089