What is the Greatest Common Factor of 87582 and 87591?

Greatest common factor (GCF) of 87582 and 87591 is 3.

GCF(87582,87591) = 3

We will now calculate the prime factors of 87582 and 87591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87582 and 87591.

How to find the GCF of 87582 and 87591?

We will first find the prime factorization of 87582 and 87591. After we will calculate the factors of 87582 and 87591 and find the biggest common factor number .

Step-1: Prime Factorization of 87582

Prime factors of 87582 are 2, 3, 11, 1327. Prime factorization of 87582 in exponential form is:

87582 = 2¹ × 3¹ × 11¹ × 1327¹

Step-2: Prime Factorization of 87591

Prime factors of 87591 are 3, 7, 43, 97. Prime factorization of 87591 in exponential form is:

87591 = 3¹ × 7¹ × 43¹ × 97¹

Step-3: Factors of 87582

List of positive integer factors of 87582 that divides 87582 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1327, 2654, 3981, 7962, 14597, 29194, 43791

Step-4: Factors of 87591

List of positive integer factors of 87591 that divides 87582 without a remainder.

1, 3, 7, 21, 43, 97, 129, 291, 301, 679, 903, 2037, 4171, 12513, 29197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87582 and 87591. The biggest common factor number is the GCF number.
So the greatest common factor 87582 and 87591 is 3.

Also check out the Least Common Multiple of 87582 and 87591