What is the Greatest Common Factor of 20842 and 20862?

Greatest common factor (GCF) of 20842 and 20862 is 2.

GCF(20842,20862) = 2

We will now calculate the prime factors of 20842 and 20862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20842 and 20862.

How to find the GCF of 20842 and 20862?

We will first find the prime factorization of 20842 and 20862. After we will calculate the factors of 20842 and 20862 and find the biggest common factor number .

Step-1: Prime Factorization of 20842

Prime factors of 20842 are 2, 17, 613. Prime factorization of 20842 in exponential form is:

20842 = 2¹ × 17¹ × 613¹

Step-2: Prime Factorization of 20862

Prime factors of 20862 are 2, 3, 19, 61. Prime factorization of 20862 in exponential form is:

20862 = 2¹ × 3² × 19¹ × 61¹

Step-3: Factors of 20842

List of positive integer factors of 20842 that divides 20842 without a remainder.

1, 2, 17, 34, 613, 1226, 10421

Step-4: Factors of 20862

List of positive integer factors of 20862 that divides 20842 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 61, 114, 122, 171, 183, 342, 366, 549, 1098, 1159, 2318, 3477, 6954, 10431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20842 and 20862. The biggest common factor number is the GCF number.
So the greatest common factor 20842 and 20862 is 2.

Also check out the Least Common Multiple of 20842 and 20862