What is the Greatest Common Factor of 20986 and 21006?

Greatest common factor (GCF) of 20986 and 21006 is 2.

GCF(20986,21006) = 2

We will now calculate the prime factors of 20986 and 21006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20986 and 21006.

How to find the GCF of 20986 and 21006?

We will first find the prime factorization of 20986 and 21006. After we will calculate the factors of 20986 and 21006 and find the biggest common factor number .

Step-1: Prime Factorization of 20986

Prime factors of 20986 are 2, 7, 1499. Prime factorization of 20986 in exponential form is:

20986 = 2¹ × 7¹ × 1499¹

Step-2: Prime Factorization of 21006

Prime factors of 21006 are 2, 3, 389. Prime factorization of 21006 in exponential form is:

21006 = 2¹ × 3³ × 389¹

Step-3: Factors of 20986

List of positive integer factors of 20986 that divides 20986 without a remainder.

1, 2, 7, 14, 1499, 2998, 10493

Step-4: Factors of 21006

List of positive integer factors of 21006 that divides 20986 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 389, 778, 1167, 2334, 3501, 7002, 10503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20986 and 21006. The biggest common factor number is the GCF number.
So the greatest common factor 20986 and 21006 is 2.

Also check out the Least Common Multiple of 20986 and 21006