What is the Greatest Common Factor of 32067 and 32078?

Greatest common factor (GCF) of 32067 and 32078 is 1.

GCF(32067,32078) = 1

We will now calculate the prime factors of 32067 and 32078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32067 and 32078.

How to find the GCF of 32067 and 32078?

We will first find the prime factorization of 32067 and 32078. After we will calculate the factors of 32067 and 32078 and find the biggest common factor number .

Step-1: Prime Factorization of 32067

Prime factors of 32067 are 3, 7, 509. Prime factorization of 32067 in exponential form is:

32067 = 3² × 7¹ × 509¹

Step-2: Prime Factorization of 32078

Prime factors of 32078 are 2, 43, 373. Prime factorization of 32078 in exponential form is:

32078 = 2¹ × 43¹ × 373¹

Step-3: Factors of 32067

List of positive integer factors of 32067 that divides 32067 without a remainder.

1, 3, 7, 9, 21, 63, 509, 1527, 3563, 4581, 10689

Step-4: Factors of 32078

List of positive integer factors of 32078 that divides 32067 without a remainder.

1, 2, 43, 86, 373, 746, 16039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32067 and 32078. The biggest common factor number is the GCF number.
So the greatest common factor 32067 and 32078 is 1.

Also check out the Least Common Multiple of 32067 and 32078