What is the Greatest Common Factor of 20820 and 20838?

Greatest common factor (GCF) of 20820 and 20838 is 6.

GCF(20820,20838) = 6

We will now calculate the prime factors of 20820 and 20838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20820 and 20838.

How to find the GCF of 20820 and 20838?

We will first find the prime factorization of 20820 and 20838. After we will calculate the factors of 20820 and 20838 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 20838

Prime factors of 20838 are 2, 3, 23, 151. Prime factorization of 20838 in exponential form is:

20838 = 2¹ × 3¹ × 23¹ × 151¹

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 20838

List of positive integer factors of 20838 that divides 20820 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 151, 302, 453, 906, 3473, 6946, 10419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20820 and 20838. The biggest common factor number is the GCF number.
So the greatest common factor 20820 and 20838 is 6.

Also check out the Least Common Multiple of 20820 and 20838