What is the Greatest Common Factor of 10870 and 10890?

Greatest common factor (GCF) of 10870 and 10890 is 10.

GCF(10870,10890) = 10

We will now calculate the prime factors of 10870 and 10890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10870 and 10890.

How to find the GCF of 10870 and 10890?

We will first find the prime factorization of 10870 and 10890. After we will calculate the factors of 10870 and 10890 and find the biggest common factor number .

Step-1: Prime Factorization of 10870

Prime factors of 10870 are 2, 5, 1087. Prime factorization of 10870 in exponential form is:

10870 = 2¹ × 5¹ × 1087¹

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 10870

List of positive integer factors of 10870 that divides 10870 without a remainder.

1, 2, 5, 10, 1087, 2174, 5435

Step-4: Factors of 10890

List of positive integer factors of 10890 that divides 10870 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 10870 and 10890. The biggest common factor number is the GCF number.
So the greatest common factor 10870 and 10890 is 10.

Also check out the Least Common Multiple of 10870 and 10890