What is the Greatest Common Factor of 32071 and 32084?

Greatest common factor (GCF) of 32071 and 32084 is 13.

GCF(32071,32084) = 13

We will now calculate the prime factors of 32071 and 32084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32071 and 32084.

How to find the GCF of 32071 and 32084?

We will first find the prime factorization of 32071 and 32084. After we will calculate the factors of 32071 and 32084 and find the biggest common factor number .

Step-1: Prime Factorization of 32071

Prime factors of 32071 are 13, 2467. Prime factorization of 32071 in exponential form is:

32071 = 13¹ × 2467¹

Step-2: Prime Factorization of 32084

Prime factors of 32084 are 2, 13, 617. Prime factorization of 32084 in exponential form is:

32084 = 2² × 13¹ × 617¹

Step-3: Factors of 32071

List of positive integer factors of 32071 that divides 32071 without a remainder.

1, 13, 2467

Step-4: Factors of 32084

List of positive integer factors of 32084 that divides 32071 without a remainder.

1, 2, 4, 13, 26, 52, 617, 1234, 2468, 8021, 16042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32071 and 32084. The biggest common factor number is the GCF number.
So the greatest common factor 32071 and 32084 is 13.

Also check out the Least Common Multiple of 32071 and 32084