What is the Greatest Common Factor of 20474 and 20488?

Greatest common factor (GCF) of 20474 and 20488 is 2.

GCF(20474,20488) = 2

We will now calculate the prime factors of 20474 and 20488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20474 and 20488.

How to find the GCF of 20474 and 20488?

We will first find the prime factorization of 20474 and 20488. After we will calculate the factors of 20474 and 20488 and find the biggest common factor number .

Step-1: Prime Factorization of 20474

Prime factors of 20474 are 2, 29, 353. Prime factorization of 20474 in exponential form is:

20474 = 2¹ × 29¹ × 353¹

Step-2: Prime Factorization of 20488

Prime factors of 20488 are 2, 13, 197. Prime factorization of 20488 in exponential form is:

20488 = 2³ × 13¹ × 197¹

Step-3: Factors of 20474

List of positive integer factors of 20474 that divides 20474 without a remainder.

1, 2, 29, 58, 353, 706, 10237

Step-4: Factors of 20488

List of positive integer factors of 20488 that divides 20474 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 197, 394, 788, 1576, 2561, 5122, 10244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20474 and 20488. The biggest common factor number is the GCF number.
So the greatest common factor 20474 and 20488 is 2.

Also check out the Least Common Multiple of 20474 and 20488