What is the Greatest Common Factor of 20820 and 20829?

Greatest common factor (GCF) of 20820 and 20829 is 3.

GCF(20820,20829) = 3

We will now calculate the prime factors of 20820 and 20829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20820 and 20829.

How to find the GCF of 20820 and 20829?

We will first find the prime factorization of 20820 and 20829. After we will calculate the factors of 20820 and 20829 and find the biggest common factor number .

Step-1: Prime Factorization of 20820

Prime factors of 20820 are 2, 3, 5, 347. Prime factorization of 20820 in exponential form is:

20820 = 2² × 3¹ × 5¹ × 347¹

Step-2: Prime Factorization of 20829

Prime factors of 20829 are 3, 53, 131. Prime factorization of 20829 in exponential form is:

20829 = 3¹ × 53¹ × 131¹

Step-3: Factors of 20820

List of positive integer factors of 20820 that divides 20820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 347, 694, 1041, 1388, 1735, 2082, 3470, 4164, 5205, 6940, 10410

Step-4: Factors of 20829

List of positive integer factors of 20829 that divides 20820 without a remainder.

1, 3, 53, 131, 159, 393, 6943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20820 and 20829. The biggest common factor number is the GCF number.
So the greatest common factor 20820 and 20829 is 3.

Also check out the Least Common Multiple of 20820 and 20829