What is the Greatest Common Factor of 20736 and 20754?

Greatest common factor (GCF) of 20736 and 20754 is 18.

GCF(20736,20754) = 18

We will now calculate the prime factors of 20736 and 20754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20736 and 20754.

How to find the GCF of 20736 and 20754?

We will first find the prime factorization of 20736 and 20754. After we will calculate the factors of 20736 and 20754 and find the biggest common factor number .

Step-1: Prime Factorization of 20736

Prime factors of 20736 are 2, 3. Prime factorization of 20736 in exponential form is:

20736 = 2⁸ × 3⁴

Step-2: Prime Factorization of 20754

Prime factors of 20754 are 2, 3, 1153. Prime factorization of 20754 in exponential form is:

20754 = 2¹ × 3² × 1153¹

Step-3: Factors of 20736

List of positive integer factors of 20736 that divides 20736 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 128, 144, 162, 192, 216, 256, 288, 324, 384, 432, 576, 648, 768, 864, 1152, 1296, 1728, 2304, 2592, 3456, 5184, 6912, 10368

Step-4: Factors of 20754

List of positive integer factors of 20754 that divides 20736 without a remainder.

1, 2, 3, 6, 9, 18, 1153, 2306, 3459, 6918, 10377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20736 and 20754. The biggest common factor number is the GCF number.
So the greatest common factor 20736 and 20754 is 18.

Also check out the Least Common Multiple of 20736 and 20754