What is the Greatest Common Factor of 20967 and 20973?

Greatest common factor (GCF) of 20967 and 20973 is 3.

GCF(20967,20973) = 3

We will now calculate the prime factors of 20967 and 20973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20967 and 20973.

How to find the GCF of 20967 and 20973?

We will first find the prime factorization of 20967 and 20973. After we will calculate the factors of 20967 and 20973 and find the biggest common factor number .

Step-1: Prime Factorization of 20967

Prime factors of 20967 are 3, 29, 241. Prime factorization of 20967 in exponential form is:

20967 = 3¹ × 29¹ × 241¹

Step-2: Prime Factorization of 20973

Prime factors of 20973 are 3, 6991. Prime factorization of 20973 in exponential form is:

20973 = 3¹ × 6991¹

Step-3: Factors of 20967

List of positive integer factors of 20967 that divides 20967 without a remainder.

1, 3, 29, 87, 241, 723, 6989

Step-4: Factors of 20973

List of positive integer factors of 20973 that divides 20967 without a remainder.

1, 3, 6991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20967 and 20973. The biggest common factor number is the GCF number.
So the greatest common factor 20967 and 20973 is 3.

Also check out the Least Common Multiple of 20967 and 20973