What is the Greatest Common Factor of 32164 and 32178?

Greatest common factor (GCF) of 32164 and 32178 is 2.

GCF(32164,32178) = 2

We will now calculate the prime factors of 32164 and 32178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32164 and 32178.

How to find the GCF of 32164 and 32178?

We will first find the prime factorization of 32164 and 32178. After we will calculate the factors of 32164 and 32178 and find the biggest common factor number .

Step-1: Prime Factorization of 32164

Prime factors of 32164 are 2, 11, 17, 43. Prime factorization of 32164 in exponential form is:

32164 = 2² × 11¹ × 17¹ × 43¹

Step-2: Prime Factorization of 32178

Prime factors of 32178 are 2, 3, 31, 173. Prime factorization of 32178 in exponential form is:

32178 = 2¹ × 3¹ × 31¹ × 173¹

Step-3: Factors of 32164

List of positive integer factors of 32164 that divides 32164 without a remainder.

1, 2, 4, 11, 17, 22, 34, 43, 44, 68, 86, 172, 187, 374, 473, 731, 748, 946, 1462, 1892, 2924, 8041, 16082

Step-4: Factors of 32178

List of positive integer factors of 32178 that divides 32164 without a remainder.

1, 2, 3, 6, 31, 62, 93, 173, 186, 346, 519, 1038, 5363, 10726, 16089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32164 and 32178. The biggest common factor number is the GCF number.
So the greatest common factor 32164 and 32178 is 2.

Also check out the Least Common Multiple of 32164 and 32178