What is the Greatest Common Factor of 20574 and 20583?

Greatest common factor (GCF) of 20574 and 20583 is 9.

GCF(20574,20583) = 9

We will now calculate the prime factors of 20574 and 20583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20574 and 20583.

How to find the GCF of 20574 and 20583?

We will first find the prime factorization of 20574 and 20583. After we will calculate the factors of 20574 and 20583 and find the biggest common factor number .

Step-1: Prime Factorization of 20574

Prime factors of 20574 are 2, 3, 127. Prime factorization of 20574 in exponential form is:

20574 = 2¹ × 3⁴ × 127¹

Step-2: Prime Factorization of 20583

Prime factors of 20583 are 3, 2287. Prime factorization of 20583 in exponential form is:

20583 = 3² × 2287¹

Step-3: Factors of 20574

List of positive integer factors of 20574 that divides 20574 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 127, 162, 254, 381, 762, 1143, 2286, 3429, 6858, 10287

Step-4: Factors of 20583

List of positive integer factors of 20583 that divides 20574 without a remainder.

1, 3, 9, 2287, 6861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20574 and 20583. The biggest common factor number is the GCF number.
So the greatest common factor 20574 and 20583 is 9.

Also check out the Least Common Multiple of 20574 and 20583