What is the Greatest Common Factor of 20512 and 20520?

Greatest common factor (GCF) of 20512 and 20520 is 8.

GCF(20512,20520) = 8

We will now calculate the prime factors of 20512 and 20520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20512 and 20520.

How to find the GCF of 20512 and 20520?

We will first find the prime factorization of 20512 and 20520. After we will calculate the factors of 20512 and 20520 and find the biggest common factor number .

Step-1: Prime Factorization of 20512

Prime factors of 20512 are 2, 641. Prime factorization of 20512 in exponential form is:

20512 = 2⁵ × 641¹

Step-2: Prime Factorization of 20520

Prime factors of 20520 are 2, 3, 5, 19. Prime factorization of 20520 in exponential form is:

20520 = 2³ × 3³ × 5¹ × 19¹

Step-3: Factors of 20512

List of positive integer factors of 20512 that divides 20512 without a remainder.

1, 2, 4, 8, 16, 32, 641, 1282, 2564, 5128, 10256

Step-4: Factors of 20520

List of positive integer factors of 20520 that divides 20512 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 27, 30, 36, 38, 40, 45, 54, 57, 60, 72, 76, 90, 95, 108, 114, 120, 135, 152, 171, 180, 190, 216, 228, 270, 285, 342, 360, 380, 456, 513, 540, 570, 684, 760, 855, 1026, 1080, 1140, 1368, 1710, 2052, 2280, 2565, 3420, 4104, 5130, 6840, 10260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20512 and 20520. The biggest common factor number is the GCF number.
So the greatest common factor 20512 and 20520 is 8.

Also check out the Least Common Multiple of 20512 and 20520