What is the Greatest Common Factor of 20978 and 20986?

Greatest common factor (GCF) of 20978 and 20986 is 2.

GCF(20978,20986) = 2

We will now calculate the prime factors of 20978 and 20986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20978 and 20986.

How to find the GCF of 20978 and 20986?

We will first find the prime factorization of 20978 and 20986. After we will calculate the factors of 20978 and 20986 and find the biggest common factor number .

Step-1: Prime Factorization of 20978

Prime factors of 20978 are 2, 17, 617. Prime factorization of 20978 in exponential form is:

20978 = 2¹ × 17¹ × 617¹

Step-2: 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-3: Factors of 20978

List of positive integer factors of 20978 that divides 20978 without a remainder.

1, 2, 17, 34, 617, 1234, 10489

Step-4: Factors of 20986

List of positive integer factors of 20986 that divides 20978 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20978 and 20986. The biggest common factor number is the GCF number.
So the greatest common factor 20978 and 20986 is 2.

Also check out the Least Common Multiple of 20978 and 20986