What is the Greatest Common Factor of 20465 and 20475?

Greatest common factor (GCF) of 20465 and 20475 is 5.

GCF(20465,20475) = 5

We will now calculate the prime factors of 20465 and 20475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20465 and 20475.

How to find the GCF of 20465 and 20475?

We will first find the prime factorization of 20465 and 20475. After we will calculate the factors of 20465 and 20475 and find the biggest common factor number .

Step-1: Prime Factorization of 20465

Prime factors of 20465 are 5, 4093. Prime factorization of 20465 in exponential form is:

20465 = 5¹ × 4093¹

Step-2: 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-3: Factors of 20465

List of positive integer factors of 20465 that divides 20465 without a remainder.

1, 5, 4093

Step-4: Factors of 20475

List of positive integer factors of 20475 that divides 20465 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20465 and 20475. The biggest common factor number is the GCF number.
So the greatest common factor 20465 and 20475 is 5.

Also check out the Least Common Multiple of 20465 and 20475