What is the Greatest Common Factor of 20868 and 20873?

Greatest common factor (GCF) of 20868 and 20873 is 1.

GCF(20868,20873) = 1

We will now calculate the prime factors of 20868 and 20873, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20868 and 20873.

How to find the GCF of 20868 and 20873?

We will first find the prime factorization of 20868 and 20873. After we will calculate the factors of 20868 and 20873 and find the biggest common factor number .

Step-1: Prime Factorization of 20868

Prime factors of 20868 are 2, 3, 37, 47. Prime factorization of 20868 in exponential form is:

20868 = 2² × 3¹ × 37¹ × 47¹

Step-2: Prime Factorization of 20873

Prime factors of 20873 are 20873. Prime factorization of 20873 in exponential form is:

20873 = 20873¹

Step-3: Factors of 20868

List of positive integer factors of 20868 that divides 20868 without a remainder.

1, 2, 3, 4, 6, 12, 37, 47, 74, 94, 111, 141, 148, 188, 222, 282, 444, 564, 1739, 3478, 5217, 6956, 10434

Step-4: Factors of 20873

List of positive integer factors of 20873 that divides 20868 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20868 and 20873. The biggest common factor number is the GCF number.
So the greatest common factor 20868 and 20873 is 1.

Also check out the Least Common Multiple of 20868 and 20873