What is the Greatest Common Factor of 32154 and 32170?

Greatest common factor (GCF) of 32154 and 32170 is 2.

GCF(32154,32170) = 2

We will now calculate the prime factors of 32154 and 32170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32154 and 32170.

How to find the GCF of 32154 and 32170?

We will first find the prime factorization of 32154 and 32170. After we will calculate the factors of 32154 and 32170 and find the biggest common factor number .

Step-1: Prime Factorization of 32154

Prime factors of 32154 are 2, 3, 23, 233. Prime factorization of 32154 in exponential form is:

32154 = 2¹ × 3¹ × 23¹ × 233¹

Step-2: Prime Factorization of 32170

Prime factors of 32170 are 2, 5, 3217. Prime factorization of 32170 in exponential form is:

32170 = 2¹ × 5¹ × 3217¹

Step-3: Factors of 32154

List of positive integer factors of 32154 that divides 32154 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 233, 466, 699, 1398, 5359, 10718, 16077

Step-4: Factors of 32170

List of positive integer factors of 32170 that divides 32154 without a remainder.

1, 2, 5, 10, 3217, 6434, 16085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32154 and 32170. The biggest common factor number is the GCF number.
So the greatest common factor 32154 and 32170 is 2.

Also check out the Least Common Multiple of 32154 and 32170