What is the Greatest Common Factor of 20544 and 20552?

Greatest common factor (GCF) of 20544 and 20552 is 8.

GCF(20544,20552) = 8

We will now calculate the prime factors of 20544 and 20552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20544 and 20552.

How to find the GCF of 20544 and 20552?

We will first find the prime factorization of 20544 and 20552. After we will calculate the factors of 20544 and 20552 and find the biggest common factor number .

Step-1: Prime Factorization of 20544

Prime factors of 20544 are 2, 3, 107. Prime factorization of 20544 in exponential form is:

20544 = 2⁶ × 3¹ × 107¹

Step-2: Prime Factorization of 20552

Prime factors of 20552 are 2, 7, 367. Prime factorization of 20552 in exponential form is:

20552 = 2³ × 7¹ × 367¹

Step-3: Factors of 20544

List of positive integer factors of 20544 that divides 20544 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 107, 192, 214, 321, 428, 642, 856, 1284, 1712, 2568, 3424, 5136, 6848, 10272

Step-4: Factors of 20552

List of positive integer factors of 20552 that divides 20544 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 367, 734, 1468, 2569, 2936, 5138, 10276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20544 and 20552. The biggest common factor number is the GCF number.
So the greatest common factor 20544 and 20552 is 8.

Also check out the Least Common Multiple of 20544 and 20552