What is the Greatest Common Factor of 67405 and 67409?

Greatest common factor (GCF) of 67405 and 67409 is 1.

GCF(67405,67409) = 1

We will now calculate the prime factors of 67405 and 67409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67405 and 67409.

How to find the GCF of 67405 and 67409?

We will first find the prime factorization of 67405 and 67409. After we will calculate the factors of 67405 and 67409 and find the biggest common factor number .

Step-1: Prime Factorization of 67405

Prime factors of 67405 are 5, 13, 17, 61. Prime factorization of 67405 in exponential form is:

67405 = 5¹ × 13¹ × 17¹ × 61¹

Step-2: Prime Factorization of 67409

Prime factors of 67409 are 67409. Prime factorization of 67409 in exponential form is:

67409 = 67409¹

Step-3: Factors of 67405

List of positive integer factors of 67405 that divides 67405 without a remainder.

1, 5, 13, 17, 61, 65, 85, 221, 305, 793, 1037, 1105, 3965, 5185, 13481

Step-4: Factors of 67409

List of positive integer factors of 67409 that divides 67405 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67405 and 67409. The biggest common factor number is the GCF number.
So the greatest common factor 67405 and 67409 is 1.

Also check out the Least Common Multiple of 67405 and 67409