What is the Greatest Common Factor of 20475 and 20483?

Greatest common factor (GCF) of 20475 and 20483 is 1.

GCF(20475,20483) = 1

We will now calculate the prime factors of 20475 and 20483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20475 and 20483.

How to find the GCF of 20475 and 20483?

We will first find the prime factorization of 20475 and 20483. After we will calculate the factors of 20475 and 20483 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 20483

Prime factors of 20483 are 20483. Prime factorization of 20483 in exponential form is:

20483 = 20483¹

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 20483

List of positive integer factors of 20483 that divides 20475 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20475 and 20483. The biggest common factor number is the GCF number.
So the greatest common factor 20475 and 20483 is 1.

Also check out the Least Common Multiple of 20475 and 20483