What is the Greatest Common Factor of 20414 and 20425?

Greatest common factor (GCF) of 20414 and 20425 is 1.

GCF(20414,20425) = 1

We will now calculate the prime factors of 20414 and 20425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20414 and 20425.

How to find the GCF of 20414 and 20425?

We will first find the prime factorization of 20414 and 20425. After we will calculate the factors of 20414 and 20425 and find the biggest common factor number .

Step-1: Prime Factorization of 20414

Prime factors of 20414 are 2, 59, 173. Prime factorization of 20414 in exponential form is:

20414 = 2¹ × 59¹ × 173¹

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 20414

List of positive integer factors of 20414 that divides 20414 without a remainder.

1, 2, 59, 118, 173, 346, 10207

Step-4: Factors of 20425

List of positive integer factors of 20425 that divides 20414 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 20414 and 20425. The biggest common factor number is the GCF number.
So the greatest common factor 20414 and 20425 is 1.

Also check out the Least Common Multiple of 20414 and 20425