What is the Greatest Common Factor of 87594 and 87609?

Greatest common factor (GCF) of 87594 and 87609 is 3.

GCF(87594,87609) = 3

We will now calculate the prime factors of 87594 and 87609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87594 and 87609.

How to find the GCF of 87594 and 87609?

We will first find the prime factorization of 87594 and 87609. After we will calculate the factors of 87594 and 87609 and find the biggest common factor number .

Step-1: Prime Factorization of 87594

Prime factors of 87594 are 2, 3, 13, 1123. Prime factorization of 87594 in exponential form is:

87594 = 2¹ × 3¹ × 13¹ × 1123¹

Step-2: Prime Factorization of 87609

Prime factors of 87609 are 3, 19, 29, 53. Prime factorization of 87609 in exponential form is:

87609 = 3¹ × 19¹ × 29¹ × 53¹

Step-3: Factors of 87594

List of positive integer factors of 87594 that divides 87594 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1123, 2246, 3369, 6738, 14599, 29198, 43797

Step-4: Factors of 87609

List of positive integer factors of 87609 that divides 87594 without a remainder.

1, 3, 19, 29, 53, 57, 87, 159, 551, 1007, 1537, 1653, 3021, 4611, 29203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87594 and 87609. The biggest common factor number is the GCF number.
So the greatest common factor 87594 and 87609 is 3.

Also check out the Least Common Multiple of 87594 and 87609