What is the Greatest Common Factor of 10872 and 10890?

Greatest common factor (GCF) of 10872 and 10890 is 18.

GCF(10872,10890) = 18

We will now calculate the prime factors of 10872 and 10890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10872 and 10890.

How to find the GCF of 10872 and 10890?

We will first find the prime factorization of 10872 and 10890. After we will calculate the factors of 10872 and 10890 and find the biggest common factor number .

Step-1: Prime Factorization of 10872

Prime factors of 10872 are 2, 3, 151. Prime factorization of 10872 in exponential form is:

10872 = 2³ × 3² × 151¹

Step-2: Prime Factorization of 10890

Prime factors of 10890 are 2, 3, 5, 11. Prime factorization of 10890 in exponential form is:

10890 = 2¹ × 3² × 5¹ × 11²

Step-3: Factors of 10872

List of positive integer factors of 10872 that divides 10872 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 151, 302, 453, 604, 906, 1208, 1359, 1812, 2718, 3624, 5436

Step-4: Factors of 10890

List of positive integer factors of 10890 that divides 10872 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 121, 165, 198, 242, 330, 363, 495, 605, 726, 990, 1089, 1210, 1815, 2178, 3630, 5445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10872 and 10890. The biggest common factor number is the GCF number.
So the greatest common factor 10872 and 10890 is 18.

Also check out the Least Common Multiple of 10872 and 10890