What is the Greatest Common Factor of 20730 and 20738?

Greatest common factor (GCF) of 20730 and 20738 is 2.

GCF(20730,20738) = 2

We will now calculate the prime factors of 20730 and 20738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20730 and 20738.

How to find the GCF of 20730 and 20738?

We will first find the prime factorization of 20730 and 20738. After we will calculate the factors of 20730 and 20738 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20738

Prime factors of 20738 are 2, 10369. Prime factorization of 20738 in exponential form is:

20738 = 2¹ × 10369¹

Step-3: Factors of 20730

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

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

Step-4: Factors of 20738

List of positive integer factors of 20738 that divides 20730 without a remainder.

1, 2, 10369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20730 and 20738. The biggest common factor number is the GCF number.
So the greatest common factor 20730 and 20738 is 2.

Also check out the Least Common Multiple of 20730 and 20738