What is the Greatest Common Factor of 20574 and 20579?

Greatest common factor (GCF) of 20574 and 20579 is 1.

GCF(20574,20579) = 1

We will now calculate the prime factors of 20574 and 20579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20574 and 20579.

How to find the GCF of 20574 and 20579?

We will first find the prime factorization of 20574 and 20579. After we will calculate the factors of 20574 and 20579 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 20579

Prime factors of 20579 are 13, 1583. Prime factorization of 20579 in exponential form is:

20579 = 13¹ × 1583¹

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 20579

List of positive integer factors of 20579 that divides 20574 without a remainder.

1, 13, 1583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20574 and 20579. The biggest common factor number is the GCF number.
So the greatest common factor 20574 and 20579 is 1.

Also check out the Least Common Multiple of 20574 and 20579