What is the Greatest Common Factor of 87405 and 87421?

Greatest common factor (GCF) of 87405 and 87421 is 1.

GCF(87405,87421) = 1

We will now calculate the prime factors of 87405 and 87421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87405 and 87421.

How to find the GCF of 87405 and 87421?

We will first find the prime factorization of 87405 and 87421. After we will calculate the factors of 87405 and 87421 and find the biggest common factor number .

Step-1: Prime Factorization of 87405

Prime factors of 87405 are 3, 5, 5827. Prime factorization of 87405 in exponential form is:

87405 = 3¹ × 5¹ × 5827¹

Step-2: Prime Factorization of 87421

Prime factors of 87421 are 87421. Prime factorization of 87421 in exponential form is:

87421 = 87421¹

Step-3: Factors of 87405

List of positive integer factors of 87405 that divides 87405 without a remainder.

1, 3, 5, 15, 5827, 17481, 29135

Step-4: Factors of 87421

List of positive integer factors of 87421 that divides 87405 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87405 and 87421. The biggest common factor number is the GCF number.
So the greatest common factor 87405 and 87421 is 1.

Also check out the Least Common Multiple of 87405 and 87421