What is the Greatest Common Factor of 13632 and 13649?

Greatest common factor (GCF) of 13632 and 13649 is 1.

GCF(13632,13649) = 1

We will now calculate the prime factors of 13632 and 13649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13632 and 13649.

How to find the GCF of 13632 and 13649?

We will first find the prime factorization of 13632 and 13649. After we will calculate the factors of 13632 and 13649 and find the biggest common factor number .

Step-1: Prime Factorization of 13632

Prime factors of 13632 are 2, 3, 71. Prime factorization of 13632 in exponential form is:

13632 = 2⁶ × 3¹ × 71¹

Step-2: Prime Factorization of 13649

Prime factors of 13649 are 13649. Prime factorization of 13649 in exponential form is:

13649 = 13649¹

Step-3: Factors of 13632

List of positive integer factors of 13632 that divides 13632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 71, 96, 142, 192, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 4544, 6816

Step-4: Factors of 13649

List of positive integer factors of 13649 that divides 13632 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13632 and 13649. The biggest common factor number is the GCF number.
So the greatest common factor 13632 and 13649 is 1.

Also check out the Least Common Multiple of 13632 and 13649