What is the Greatest Common Factor of 32639 and 32648?

Greatest common factor (GCF) of 32639 and 32648 is 1.

GCF(32639,32648) = 1

We will now calculate the prime factors of 32639 and 32648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32639 and 32648.

How to find the GCF of 32639 and 32648?

We will first find the prime factorization of 32639 and 32648. After we will calculate the factors of 32639 and 32648 and find the biggest common factor number .

Step-1: Prime Factorization of 32639

Prime factors of 32639 are 127, 257. Prime factorization of 32639 in exponential form is:

32639 = 127¹ × 257¹

Step-2: 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-3: Factors of 32639

List of positive integer factors of 32639 that divides 32639 without a remainder.

1, 127, 257

Step-4: Factors of 32648

List of positive integer factors of 32648 that divides 32639 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32639 and 32648. The biggest common factor number is the GCF number.
So the greatest common factor 32639 and 32648 is 1.

Also check out the Least Common Multiple of 32639 and 32648