What is the Greatest Common Factor of 32080 and 32087?

Greatest common factor (GCF) of 32080 and 32087 is 1.

GCF(32080,32087) = 1

We will now calculate the prime factors of 32080 and 32087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32080 and 32087.

How to find the GCF of 32080 and 32087?

We will first find the prime factorization of 32080 and 32087. After we will calculate the factors of 32080 and 32087 and find the biggest common factor number .

Step-1: Prime Factorization of 32080

Prime factors of 32080 are 2, 5, 401. Prime factorization of 32080 in exponential form is:

32080 = 2⁴ × 5¹ × 401¹

Step-2: Prime Factorization of 32087

Prime factors of 32087 are 11, 2917. Prime factorization of 32087 in exponential form is:

32087 = 11¹ × 2917¹

Step-3: Factors of 32080

List of positive integer factors of 32080 that divides 32080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 401, 802, 1604, 2005, 3208, 4010, 6416, 8020, 16040

Step-4: Factors of 32087

List of positive integer factors of 32087 that divides 32080 without a remainder.

1, 11, 2917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32080 and 32087. The biggest common factor number is the GCF number.
So the greatest common factor 32080 and 32087 is 1.

Also check out the Least Common Multiple of 32080 and 32087