What is the Greatest Common Factor of 87087 and 87091?

Greatest common factor (GCF) of 87087 and 87091 is 1.

GCF(87087,87091) = 1

We will now calculate the prime factors of 87087 and 87091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87087 and 87091.

How to find the GCF of 87087 and 87091?

We will first find the prime factorization of 87087 and 87091. After we will calculate the factors of 87087 and 87091 and find the biggest common factor number .

Step-1: Prime Factorization of 87087

Prime factors of 87087 are 3, 7, 11, 13, 29. Prime factorization of 87087 in exponential form is:

87087 = 3¹ × 7¹ × 11¹ × 13¹ × 29¹

Step-2: Prime Factorization of 87091

Prime factors of 87091 are 17, 47, 109. Prime factorization of 87091 in exponential form is:

87091 = 17¹ × 47¹ × 109¹

Step-3: Factors of 87087

List of positive integer factors of 87087 that divides 87087 without a remainder.

1, 3, 7, 11, 13, 21, 29, 33, 39, 77, 87, 91, 143, 203, 231, 273, 319, 377, 429, 609, 957, 1001, 1131, 2233, 2639, 3003, 4147, 6699, 7917, 12441, 29029

Step-4: Factors of 87091

List of positive integer factors of 87091 that divides 87087 without a remainder.

1, 17, 47, 109, 799, 1853, 5123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87087 and 87091. The biggest common factor number is the GCF number.
So the greatest common factor 87087 and 87091 is 1.

Also check out the Least Common Multiple of 87087 and 87091