What is the Greatest Common Factor of 87279 and 87291?

Greatest common factor (GCF) of 87279 and 87291 is 3.

GCF(87279,87291) = 3

We will now calculate the prime factors of 87279 and 87291, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87279 and 87291.

How to find the GCF of 87279 and 87291?

We will first find the prime factorization of 87279 and 87291. After we will calculate the factors of 87279 and 87291 and find the biggest common factor number .

Step-1: Prime Factorization of 87279

Prime factors of 87279 are 3, 47, 619. Prime factorization of 87279 in exponential form is:

87279 = 3¹ × 47¹ × 619¹

Step-2: Prime Factorization of 87291

Prime factors of 87291 are 3, 53, 61. Prime factorization of 87291 in exponential form is:

87291 = 3³ × 53¹ × 61¹

Step-3: Factors of 87279

List of positive integer factors of 87279 that divides 87279 without a remainder.

1, 3, 47, 141, 619, 1857, 29093

Step-4: Factors of 87291

List of positive integer factors of 87291 that divides 87279 without a remainder.

1, 3, 9, 27, 53, 61, 159, 183, 477, 549, 1431, 1647, 3233, 9699, 29097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87279 and 87291. The biggest common factor number is the GCF number.
So the greatest common factor 87279 and 87291 is 3.

Also check out the Least Common Multiple of 87279 and 87291