What is the Greatest Common Factor of 90870 and 90882?

Greatest common factor (GCF) of 90870 and 90882 is 6.

GCF(90870,90882) = 6

We will now calculate the prime factors of 90870 and 90882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90870 and 90882.

How to find the GCF of 90870 and 90882?

We will first find the prime factorization of 90870 and 90882. After we will calculate the factors of 90870 and 90882 and find the biggest common factor number .

Step-1: Prime Factorization of 90870

Prime factors of 90870 are 2, 3, 5, 13, 233. Prime factorization of 90870 in exponential form is:

90870 = 2¹ × 3¹ × 5¹ × 13¹ × 233¹

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 90870

List of positive integer factors of 90870 that divides 90870 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 233, 390, 466, 699, 1165, 1398, 2330, 3029, 3495, 6058, 6990, 9087, 15145, 18174, 30290, 45435

Step-4: Factors of 90882

List of positive integer factors of 90882 that divides 90870 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 90870 and 90882. The biggest common factor number is the GCF number.
So the greatest common factor 90870 and 90882 is 6.

Also check out the Least Common Multiple of 90870 and 90882