What is the Greatest Common Factor of 20730 and 20744?

Greatest common factor (GCF) of 20730 and 20744 is 2.

GCF(20730,20744) = 2

We will now calculate the prime factors of 20730 and 20744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20730 and 20744.

How to find the GCF of 20730 and 20744?

We will first find the prime factorization of 20730 and 20744. After we will calculate the factors of 20730 and 20744 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 20744

Prime factors of 20744 are 2, 2593. Prime factorization of 20744 in exponential form is:

20744 = 2³ × 2593¹

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 20744

List of positive integer factors of 20744 that divides 20730 without a remainder.

1, 2, 4, 8, 2593, 5186, 10372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20730 and 20744. The biggest common factor number is the GCF number.
So the greatest common factor 20730 and 20744 is 2.

Also check out the Least Common Multiple of 20730 and 20744