What is the Greatest Common Factor of 13632 and 13651?

Greatest common factor (GCF) of 13632 and 13651 is 1.

GCF(13632,13651) = 1

We will now calculate the prime factors of 13632 and 13651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13632 and 13651.

How to find the GCF of 13632 and 13651?

We will first find the prime factorization of 13632 and 13651. After we will calculate the factors of 13632 and 13651 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 13651

Prime factors of 13651 are 11, 17, 73. Prime factorization of 13651 in exponential form is:

13651 = 11¹ × 17¹ × 73¹

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 13651

List of positive integer factors of 13651 that divides 13632 without a remainder.

1, 11, 17, 73, 187, 803, 1241

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13632 and 13651. The biggest common factor number is the GCF number.
So the greatest common factor 13632 and 13651 is 1.

Also check out the Least Common Multiple of 13632 and 13651