What is the Greatest Common Factor of 32654 and 32664?

Greatest common factor (GCF) of 32654 and 32664 is 2.

GCF(32654,32664) = 2

We will now calculate the prime factors of 32654 and 32664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32654 and 32664.

How to find the GCF of 32654 and 32664?

We will first find the prime factorization of 32654 and 32664. After we will calculate the factors of 32654 and 32664 and find the biggest common factor number .

Step-1: Prime Factorization of 32654

Prime factors of 32654 are 2, 29, 563. Prime factorization of 32654 in exponential form is:

32654 = 2¹ × 29¹ × 563¹

Step-2: Prime Factorization of 32664

Prime factors of 32664 are 2, 3, 1361. Prime factorization of 32664 in exponential form is:

32664 = 2³ × 3¹ × 1361¹

Step-3: Factors of 32654

List of positive integer factors of 32654 that divides 32654 without a remainder.

1, 2, 29, 58, 563, 1126, 16327

Step-4: Factors of 32664

List of positive integer factors of 32664 that divides 32654 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1361, 2722, 4083, 5444, 8166, 10888, 16332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32654 and 32664. The biggest common factor number is the GCF number.
So the greatest common factor 32654 and 32664 is 2.

Also check out the Least Common Multiple of 32654 and 32664