What is the Greatest Common Factor of 32135 and 32154?

Greatest common factor (GCF) of 32135 and 32154 is 1.

GCF(32135,32154) = 1

We will now calculate the prime factors of 32135 and 32154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32135 and 32154.

How to find the GCF of 32135 and 32154?

We will first find the prime factorization of 32135 and 32154. After we will calculate the factors of 32135 and 32154 and find the biggest common factor number .

Step-1: Prime Factorization of 32135

Prime factors of 32135 are 5, 6427. Prime factorization of 32135 in exponential form is:

32135 = 5¹ × 6427¹

Step-2: 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-3: Factors of 32135

List of positive integer factors of 32135 that divides 32135 without a remainder.

1, 5, 6427

Step-4: Factors of 32154

List of positive integer factors of 32154 that divides 32135 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32135 and 32154. The biggest common factor number is the GCF number.
So the greatest common factor 32135 and 32154 is 1.

Also check out the Least Common Multiple of 32135 and 32154