What is the Greatest Common Factor of 19405 and 19420?

Greatest common factor (GCF) of 19405 and 19420 is 5.

GCF(19405,19420) = 5

We will now calculate the prime factors of 19405 and 19420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19405 and 19420.

How to find the GCF of 19405 and 19420?

We will first find the prime factorization of 19405 and 19420. After we will calculate the factors of 19405 and 19420 and find the biggest common factor number .

Step-1: Prime Factorization of 19405

Prime factors of 19405 are 5, 3881. Prime factorization of 19405 in exponential form is:

19405 = 5¹ × 3881¹

Step-2: Prime Factorization of 19420

Prime factors of 19420 are 2, 5, 971. Prime factorization of 19420 in exponential form is:

19420 = 2² × 5¹ × 971¹

Step-3: Factors of 19405

List of positive integer factors of 19405 that divides 19405 without a remainder.

1, 5, 3881

Step-4: Factors of 19420

List of positive integer factors of 19420 that divides 19405 without a remainder.

1, 2, 4, 5, 10, 20, 971, 1942, 3884, 4855, 9710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19405 and 19420. The biggest common factor number is the GCF number.
So the greatest common factor 19405 and 19420 is 5.

Also check out the Least Common Multiple of 19405 and 19420