What is the Greatest Common Factor of 20842 and 20860?

Greatest common factor (GCF) of 20842 and 20860 is 2.

GCF(20842,20860) = 2

We will now calculate the prime factors of 20842 and 20860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20842 and 20860.

How to find the GCF of 20842 and 20860?

We will first find the prime factorization of 20842 and 20860. After we will calculate the factors of 20842 and 20860 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 20860

Prime factors of 20860 are 2, 5, 7, 149. Prime factorization of 20860 in exponential form is:

20860 = 2² × 5¹ × 7¹ × 149¹

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 20860

List of positive integer factors of 20860 that divides 20842 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 149, 298, 596, 745, 1043, 1490, 2086, 2980, 4172, 5215, 10430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20842 and 20860. The biggest common factor number is the GCF number.
So the greatest common factor 20842 and 20860 is 2.

Also check out the Least Common Multiple of 20842 and 20860