What is the Greatest Common Factor of 20532 and 20544?

Greatest common factor (GCF) of 20532 and 20544 is 12.

GCF(20532,20544) = 12

We will now calculate the prime factors of 20532 and 20544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20532 and 20544.

How to find the GCF of 20532 and 20544?

We will first find the prime factorization of 20532 and 20544. After we will calculate the factors of 20532 and 20544 and find the biggest common factor number .

Step-1: Prime Factorization of 20532

Prime factors of 20532 are 2, 3, 29, 59. Prime factorization of 20532 in exponential form is:

20532 = 2² × 3¹ × 29¹ × 59¹

Step-2: 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-3: Factors of 20532

List of positive integer factors of 20532 that divides 20532 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 59, 87, 116, 118, 174, 177, 236, 348, 354, 708, 1711, 3422, 5133, 6844, 10266

Step-4: Factors of 20544

List of positive integer factors of 20544 that divides 20532 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20532 and 20544. The biggest common factor number is the GCF number.
So the greatest common factor 20532 and 20544 is 12.

Also check out the Least Common Multiple of 20532 and 20544