What is the Greatest Common Factor of 32854 and 32870?

Greatest common factor (GCF) of 32854 and 32870 is 2.

GCF(32854,32870) = 2

We will now calculate the prime factors of 32854 and 32870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32854 and 32870.

How to find the GCF of 32854 and 32870?

We will first find the prime factorization of 32854 and 32870. After we will calculate the factors of 32854 and 32870 and find the biggest common factor number .

Step-1: Prime Factorization of 32854

Prime factors of 32854 are 2, 16427. Prime factorization of 32854 in exponential form is:

32854 = 2¹ × 16427¹

Step-2: Prime Factorization of 32870

Prime factors of 32870 are 2, 5, 19, 173. Prime factorization of 32870 in exponential form is:

32870 = 2¹ × 5¹ × 19¹ × 173¹

Step-3: Factors of 32854

List of positive integer factors of 32854 that divides 32854 without a remainder.

1, 2, 16427

Step-4: Factors of 32870

List of positive integer factors of 32870 that divides 32854 without a remainder.

1, 2, 5, 10, 19, 38, 95, 173, 190, 346, 865, 1730, 3287, 6574, 16435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32854 and 32870. The biggest common factor number is the GCF number.
So the greatest common factor 32854 and 32870 is 2.

Also check out the Least Common Multiple of 32854 and 32870