What is the Greatest Common Factor of 56405 and 56423?

Greatest common factor (GCF) of 56405 and 56423 is 1.

GCF(56405,56423) = 1

We will now calculate the prime factors of 56405 and 56423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56405 and 56423.

How to find the GCF of 56405 and 56423?

We will first find the prime factorization of 56405 and 56423. After we will calculate the factors of 56405 and 56423 and find the biggest common factor number .

Step-1: Prime Factorization of 56405

Prime factors of 56405 are 5, 29, 389. Prime factorization of 56405 in exponential form is:

56405 = 5¹ × 29¹ × 389¹

Step-2: Prime Factorization of 56423

Prime factors of 56423 are 17, 3319. Prime factorization of 56423 in exponential form is:

56423 = 17¹ × 3319¹

Step-3: Factors of 56405

List of positive integer factors of 56405 that divides 56405 without a remainder.

1, 5, 29, 145, 389, 1945, 11281

Step-4: Factors of 56423

List of positive integer factors of 56423 that divides 56405 without a remainder.

1, 17, 3319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56405 and 56423. The biggest common factor number is the GCF number.
So the greatest common factor 56405 and 56423 is 1.

Also check out the Least Common Multiple of 56405 and 56423