What is the Greatest Common Factor of 20710 and 20729?

Greatest common factor (GCF) of 20710 and 20729 is 19.

GCF(20710,20729) = 19

We will now calculate the prime factors of 20710 and 20729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20710 and 20729.

How to find the GCF of 20710 and 20729?

We will first find the prime factorization of 20710 and 20729. After we will calculate the factors of 20710 and 20729 and find the biggest common factor number .

Step-1: Prime Factorization of 20710

Prime factors of 20710 are 2, 5, 19, 109. Prime factorization of 20710 in exponential form is:

20710 = 2¹ × 5¹ × 19¹ × 109¹

Step-2: Prime Factorization of 20729

Prime factors of 20729 are 19, 1091. Prime factorization of 20729 in exponential form is:

20729 = 19¹ × 1091¹

Step-3: Factors of 20710

List of positive integer factors of 20710 that divides 20710 without a remainder.

1, 2, 5, 10, 19, 38, 95, 109, 190, 218, 545, 1090, 2071, 4142, 10355

Step-4: Factors of 20729

List of positive integer factors of 20729 that divides 20710 without a remainder.

1, 19, 1091

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20710 and 20729. The biggest common factor number is the GCF number.
So the greatest common factor 20710 and 20729 is 19.

Also check out the Least Common Multiple of 20710 and 20729