What is the Greatest Common Factor of 87590 and 87609?

Greatest common factor (GCF) of 87590 and 87609 is 19.

GCF(87590,87609) = 19

We will now calculate the prime factors of 87590 and 87609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87590 and 87609.

How to find the GCF of 87590 and 87609?

We will first find the prime factorization of 87590 and 87609. After we will calculate the factors of 87590 and 87609 and find the biggest common factor number .

Step-1: Prime Factorization of 87590

Prime factors of 87590 are 2, 5, 19, 461. Prime factorization of 87590 in exponential form is:

87590 = 2¹ × 5¹ × 19¹ × 461¹

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 87590

List of positive integer factors of 87590 that divides 87590 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 461, 922, 2305, 4610, 8759, 17518, 43795

Step-4: Factors of 87609

List of positive integer factors of 87609 that divides 87590 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 87590 and 87609. The biggest common factor number is the GCF number.
So the greatest common factor 87590 and 87609 is 19.

Also check out the Least Common Multiple of 87590 and 87609