What is the Greatest Common Factor of 20711 and 20730?

Greatest common factor (GCF) of 20711 and 20730 is 1.

GCF(20711,20730) = 1

We will now calculate the prime factors of 20711 and 20730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20711 and 20730.

How to find the GCF of 20711 and 20730?

We will first find the prime factorization of 20711 and 20730. After we will calculate the factors of 20711 and 20730 and find the biggest common factor number .

Step-1: Prime Factorization of 20711

Prime factors of 20711 are 139, 149. Prime factorization of 20711 in exponential form is:

20711 = 139¹ × 149¹

Step-2: Prime Factorization of 20730

Prime factors of 20730 are 2, 3, 5, 691. Prime factorization of 20730 in exponential form is:

20730 = 2¹ × 3¹ × 5¹ × 691¹

Step-3: Factors of 20711

List of positive integer factors of 20711 that divides 20711 without a remainder.

1, 139, 149

Step-4: Factors of 20730

List of positive integer factors of 20730 that divides 20711 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 691, 1382, 2073, 3455, 4146, 6910, 10365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20711 and 20730. The biggest common factor number is the GCF number.
So the greatest common factor 20711 and 20730 is 1.

Also check out the Least Common Multiple of 20711 and 20730