What is the Greatest Common Factor of 20574 and 20578?

Greatest common factor (GCF) of 20574 and 20578 is 2.

GCF(20574,20578) = 2

We will now calculate the prime factors of 20574 and 20578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20574 and 20578.

How to find the GCF of 20574 and 20578?

We will first find the prime factorization of 20574 and 20578. After we will calculate the factors of 20574 and 20578 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 20578

Prime factors of 20578 are 2, 10289. Prime factorization of 20578 in exponential form is:

20578 = 2¹ × 10289¹

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 20578

List of positive integer factors of 20578 that divides 20574 without a remainder.

1, 2, 10289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20574 and 20578. The biggest common factor number is the GCF number.
So the greatest common factor 20574 and 20578 is 2.

Also check out the Least Common Multiple of 20574 and 20578