What is the Greatest Common Factor of 20408 and 20425?

Greatest common factor (GCF) of 20408 and 20425 is 1.

GCF(20408,20425) = 1

We will now calculate the prime factors of 20408 and 20425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20408 and 20425.

How to find the GCF of 20408 and 20425?

We will first find the prime factorization of 20408 and 20425. After we will calculate the factors of 20408 and 20425 and find the biggest common factor number .

Step-1: Prime Factorization of 20408

Prime factors of 20408 are 2, 2551. Prime factorization of 20408 in exponential form is:

20408 = 2³ × 2551¹

Step-2: Prime Factorization of 20425

Prime factors of 20425 are 5, 19, 43. Prime factorization of 20425 in exponential form is:

20425 = 5² × 19¹ × 43¹

Step-3: Factors of 20408

List of positive integer factors of 20408 that divides 20408 without a remainder.

1, 2, 4, 8, 2551, 5102, 10204

Step-4: Factors of 20425

List of positive integer factors of 20425 that divides 20408 without a remainder.

1, 5, 19, 25, 43, 95, 215, 475, 817, 1075, 4085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20408 and 20425. The biggest common factor number is the GCF number.
So the greatest common factor 20408 and 20425 is 1.

Also check out the Least Common Multiple of 20408 and 20425