What is the Greatest Common Factor of 87409 and 87424?

Greatest common factor (GCF) of 87409 and 87424 is 1.

GCF(87409,87424) = 1

We will now calculate the prime factors of 87409 and 87424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87409 and 87424.

How to find the GCF of 87409 and 87424?

We will first find the prime factorization of 87409 and 87424. After we will calculate the factors of 87409 and 87424 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 87424

Prime factors of 87424 are 2, 683. Prime factorization of 87424 in exponential form is:

87424 = 2⁷ × 683¹

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 87424

List of positive integer factors of 87424 that divides 87409 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 683, 1366, 2732, 5464, 10928, 21856, 43712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87409 and 87424. The biggest common factor number is the GCF number.
So the greatest common factor 87409 and 87424 is 1.

Also check out the Least Common Multiple of 87409 and 87424