What is the Greatest Common Factor of 10590 and 10605?

Greatest common factor (GCF) of 10590 and 10605 is 15.

GCF(10590,10605) = 15

We will now calculate the prime factors of 10590 and 10605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10590 and 10605.

How to find the GCF of 10590 and 10605?

We will first find the prime factorization of 10590 and 10605. After we will calculate the factors of 10590 and 10605 and find the biggest common factor number .

Step-1: Prime Factorization of 10590

Prime factors of 10590 are 2, 3, 5, 353. Prime factorization of 10590 in exponential form is:

10590 = 2¹ × 3¹ × 5¹ × 353¹

Step-2: Prime Factorization of 10605

Prime factors of 10605 are 3, 5, 7, 101. Prime factorization of 10605 in exponential form is:

10605 = 3¹ × 5¹ × 7¹ × 101¹

Step-3: Factors of 10590

List of positive integer factors of 10590 that divides 10590 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 353, 706, 1059, 1765, 2118, 3530, 5295

Step-4: Factors of 10605

List of positive integer factors of 10605 that divides 10590 without a remainder.

1, 3, 5, 7, 15, 21, 35, 101, 105, 303, 505, 707, 1515, 2121, 3535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10590 and 10605. The biggest common factor number is the GCF number.
So the greatest common factor 10590 and 10605 is 15.

Also check out the Least Common Multiple of 10590 and 10605