What is the Greatest Common Factor of 20339 and 20350?

Greatest common factor (GCF) of 20339 and 20350 is 11.

GCF(20339,20350) = 11

We will now calculate the prime factors of 20339 and 20350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20339 and 20350.

How to find the GCF of 20339 and 20350?

We will first find the prime factorization of 20339 and 20350. After we will calculate the factors of 20339 and 20350 and find the biggest common factor number .

Step-1: Prime Factorization of 20339

Prime factors of 20339 are 11, 43. Prime factorization of 20339 in exponential form is:

20339 = 11¹ × 43²

Step-2: Prime Factorization of 20350

Prime factors of 20350 are 2, 5, 11, 37. Prime factorization of 20350 in exponential form is:

20350 = 2¹ × 5² × 11¹ × 37¹

Step-3: Factors of 20339

List of positive integer factors of 20339 that divides 20339 without a remainder.

1, 11, 43, 473, 1849

Step-4: Factors of 20350

List of positive integer factors of 20350 that divides 20339 without a remainder.

1, 2, 5, 10, 11, 22, 25, 37, 50, 55, 74, 110, 185, 275, 370, 407, 550, 814, 925, 1850, 2035, 4070, 10175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20339 and 20350. The biggest common factor number is the GCF number.
So the greatest common factor 20339 and 20350 is 11.

Also check out the Least Common Multiple of 20339 and 20350