What is the Greatest Common Factor of 90871 and 90882?

Greatest common factor (GCF) of 90871 and 90882 is 11.

GCF(90871,90882) = 11

We will now calculate the prime factors of 90871 and 90882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90871 and 90882.

How to find the GCF of 90871 and 90882?

We will first find the prime factorization of 90871 and 90882. After we will calculate the factors of 90871 and 90882 and find the biggest common factor number .

Step-1: Prime Factorization of 90871

Prime factors of 90871 are 11, 751. Prime factorization of 90871 in exponential form is:

90871 = 11² × 751¹

Step-2: Prime Factorization of 90882

Prime factors of 90882 are 2, 3, 11, 17. Prime factorization of 90882 in exponential form is:

90882 = 2¹ × 3⁵ × 11¹ × 17¹

Step-3: Factors of 90871

List of positive integer factors of 90871 that divides 90871 without a remainder.

1, 11, 121, 751, 8261

Step-4: Factors of 90882

List of positive integer factors of 90882 that divides 90871 without a remainder.

1, 2, 3, 6, 9, 11, 17, 18, 22, 27, 33, 34, 51, 54, 66, 81, 99, 102, 153, 162, 187, 198, 243, 297, 306, 374, 459, 486, 561, 594, 891, 918, 1122, 1377, 1683, 1782, 2673, 2754, 3366, 4131, 5049, 5346, 8262, 10098, 15147, 30294, 45441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90871 and 90882. The biggest common factor number is the GCF number.
So the greatest common factor 90871 and 90882 is 11.

Also check out the Least Common Multiple of 90871 and 90882