What is the Greatest Common Factor of 20958 and 20967?

Greatest common factor (GCF) of 20958 and 20967 is 3.

GCF(20958,20967) = 3

We will now calculate the prime factors of 20958 and 20967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20958 and 20967.

How to find the GCF of 20958 and 20967?

We will first find the prime factorization of 20958 and 20967. After we will calculate the factors of 20958 and 20967 and find the biggest common factor number .

Step-1: Prime Factorization of 20958

Prime factors of 20958 are 2, 3, 7, 499. Prime factorization of 20958 in exponential form is:

20958 = 2¹ × 3¹ × 7¹ × 499¹

Step-2: 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-3: Factors of 20958

List of positive integer factors of 20958 that divides 20958 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 499, 998, 1497, 2994, 3493, 6986, 10479

Step-4: Factors of 20967

List of positive integer factors of 20967 that divides 20958 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20958 and 20967. The biggest common factor number is the GCF number.
So the greatest common factor 20958 and 20967 is 3.

Also check out the Least Common Multiple of 20958 and 20967