What is the Greatest Common Factor of 32861 and 32878?

Greatest common factor (GCF) of 32861 and 32878 is 17.

GCF(32861,32878) = 17

We will now calculate the prime factors of 32861 and 32878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32861 and 32878.

How to find the GCF of 32861 and 32878?

We will first find the prime factorization of 32861 and 32878. After we will calculate the factors of 32861 and 32878 and find the biggest common factor number .

Step-1: Prime Factorization of 32861

Prime factors of 32861 are 17, 1933. Prime factorization of 32861 in exponential form is:

32861 = 17¹ × 1933¹

Step-2: Prime Factorization of 32878

Prime factors of 32878 are 2, 17, 967. Prime factorization of 32878 in exponential form is:

32878 = 2¹ × 17¹ × 967¹

Step-3: Factors of 32861

List of positive integer factors of 32861 that divides 32861 without a remainder.

1, 17, 1933

Step-4: Factors of 32878

List of positive integer factors of 32878 that divides 32861 without a remainder.

1, 2, 17, 34, 967, 1934, 16439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32861 and 32878. The biggest common factor number is the GCF number.
So the greatest common factor 32861 and 32878 is 17.

Also check out the Least Common Multiple of 32861 and 32878