What is the Greatest Common Factor of 87409 and 87418?

Greatest common factor (GCF) of 87409 and 87418 is 1.

GCF(87409,87418) = 1

We will now calculate the prime factors of 87409 and 87418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87409 and 87418.

How to find the GCF of 87409 and 87418?

We will first find the prime factorization of 87409 and 87418. After we will calculate the factors of 87409 and 87418 and find the biggest common factor number .

Step-1: Prime Factorization of 87409

Prime factors of 87409 are 7, 12487. Prime factorization of 87409 in exponential form is:

87409 = 7¹ × 12487¹

Step-2: Prime Factorization of 87418

Prime factors of 87418 are 2, 109, 401. Prime factorization of 87418 in exponential form is:

87418 = 2¹ × 109¹ × 401¹

Step-3: Factors of 87409

List of positive integer factors of 87409 that divides 87409 without a remainder.

1, 7, 12487

Step-4: Factors of 87418

List of positive integer factors of 87418 that divides 87409 without a remainder.

1, 2, 109, 218, 401, 802, 43709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87409 and 87418. The biggest common factor number is the GCF number.
So the greatest common factor 87409 and 87418 is 1.

Also check out the Least Common Multiple of 87409 and 87418