What is the Greatest Common Factor of 32648 and 32664?

Greatest common factor (GCF) of 32648 and 32664 is 8.

GCF(32648,32664) = 8

We will now calculate the prime factors of 32648 and 32664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32648 and 32664.

How to find the GCF of 32648 and 32664?

We will first find the prime factorization of 32648 and 32664. After we will calculate the factors of 32648 and 32664 and find the biggest common factor number .

Step-1: Prime Factorization of 32648

Prime factors of 32648 are 2, 7, 11, 53. Prime factorization of 32648 in exponential form is:

32648 = 2³ × 7¹ × 11¹ × 53¹

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 32648

List of positive integer factors of 32648 that divides 32648 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 53, 56, 77, 88, 106, 154, 212, 308, 371, 424, 583, 616, 742, 1166, 1484, 2332, 2968, 4081, 4664, 8162, 16324

Step-4: Factors of 32664

List of positive integer factors of 32664 that divides 32648 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 32648 and 32664. The biggest common factor number is the GCF number.
So the greatest common factor 32648 and 32664 is 8.

Also check out the Least Common Multiple of 32648 and 32664