What is the Greatest Common Factor of 20727 and 20733?

Greatest common factor (GCF) of 20727 and 20733 is 3.

GCF(20727,20733) = 3

We will now calculate the prime factors of 20727 and 20733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20727 and 20733.

How to find the GCF of 20727 and 20733?

We will first find the prime factorization of 20727 and 20733. After we will calculate the factors of 20727 and 20733 and find the biggest common factor number .

Step-1: Prime Factorization of 20727

Prime factors of 20727 are 3, 7, 47. Prime factorization of 20727 in exponential form is:

20727 = 3² × 7² × 47¹

Step-2: Prime Factorization of 20733

Prime factors of 20733 are 3, 6911. Prime factorization of 20733 in exponential form is:

20733 = 3¹ × 6911¹

Step-3: Factors of 20727

List of positive integer factors of 20727 that divides 20727 without a remainder.

1, 3, 7, 9, 21, 47, 49, 63, 141, 147, 329, 423, 441, 987, 2303, 2961, 6909

Step-4: Factors of 20733

List of positive integer factors of 20733 that divides 20727 without a remainder.

1, 3, 6911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20727 and 20733. The biggest common factor number is the GCF number.
So the greatest common factor 20727 and 20733 is 3.

Also check out the Least Common Multiple of 20727 and 20733