What is the Greatest Common Factor of 20475 and 20488?

Greatest common factor (GCF) of 20475 and 20488 is 13.

GCF(20475,20488) = 13

We will now calculate the prime factors of 20475 and 20488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20475 and 20488.

How to find the GCF of 20475 and 20488?

We will first find the prime factorization of 20475 and 20488. After we will calculate the factors of 20475 and 20488 and find the biggest common factor number .

Step-1: Prime Factorization of 20475

Prime factors of 20475 are 3, 5, 7, 13. Prime factorization of 20475 in exponential form is:

20475 = 3² × 5² × 7¹ × 13¹

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 20475

List of positive integer factors of 20475 that divides 20475 without a remainder.

1, 3, 5, 7, 9, 13, 15, 21, 25, 35, 39, 45, 63, 65, 75, 91, 105, 117, 175, 195, 225, 273, 315, 325, 455, 525, 585, 819, 975, 1365, 1575, 2275, 2925, 4095, 6825

Step-4: Factors of 20488

List of positive integer factors of 20488 that divides 20475 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 20475 and 20488. The biggest common factor number is the GCF number.
So the greatest common factor 20475 and 20488 is 13.

Also check out the Least Common Multiple of 20475 and 20488