What is the Greatest Common Factor of 20709 and 20727?

Greatest common factor (GCF) of 20709 and 20727 is 9.

GCF(20709,20727) = 9

We will now calculate the prime factors of 20709 and 20727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20709 and 20727.

How to find the GCF of 20709 and 20727?

We will first find the prime factorization of 20709 and 20727. After we will calculate the factors of 20709 and 20727 and find the biggest common factor number .

Step-1: Prime Factorization of 20709

Prime factors of 20709 are 3, 13, 59. Prime factorization of 20709 in exponential form is:

20709 = 3³ × 13¹ × 59¹

Step-2: 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-3: Factors of 20709

List of positive integer factors of 20709 that divides 20709 without a remainder.

1, 3, 9, 13, 27, 39, 59, 117, 177, 351, 531, 767, 1593, 2301, 6903

Step-4: Factors of 20727

List of positive integer factors of 20727 that divides 20709 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20709 and 20727. The biggest common factor number is the GCF number.
So the greatest common factor 20709 and 20727 is 9.

Also check out the Least Common Multiple of 20709 and 20727