What is the Greatest Common Factor of 32634 and 32648?

Greatest common factor (GCF) of 32634 and 32648 is 14.

GCF(32634,32648) = 14

We will now calculate the prime factors of 32634 and 32648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32634 and 32648.

How to find the GCF of 32634 and 32648?

We will first find the prime factorization of 32634 and 32648. After we will calculate the factors of 32634 and 32648 and find the biggest common factor number .

Step-1: Prime Factorization of 32634

Prime factors of 32634 are 2, 3, 7, 37. Prime factorization of 32634 in exponential form is:

32634 = 2¹ × 3² × 7² × 37¹

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 32634

List of positive integer factors of 32634 that divides 32634 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 49, 63, 74, 98, 111, 126, 147, 222, 259, 294, 333, 441, 518, 666, 777, 882, 1554, 1813, 2331, 3626, 4662, 5439, 10878, 16317

Step-4: Factors of 32648

List of positive integer factors of 32648 that divides 32634 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 32634 and 32648. The biggest common factor number is the GCF number.
So the greatest common factor 32634 and 32648 is 14.

Also check out the Least Common Multiple of 32634 and 32648