What is the Greatest Common Factor of 10725 and 10733?

Greatest common factor (GCF) of 10725 and 10733 is 1.

GCF(10725,10733) = 1

We will now calculate the prime factors of 10725 and 10733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10725 and 10733.

How to find the GCF of 10725 and 10733?

We will first find the prime factorization of 10725 and 10733. After we will calculate the factors of 10725 and 10733 and find the biggest common factor number .

Step-1: Prime Factorization of 10725

Prime factors of 10725 are 3, 5, 11, 13. Prime factorization of 10725 in exponential form is:

10725 = 3¹ × 5² × 11¹ × 13¹

Step-2: Prime Factorization of 10733

Prime factors of 10733 are 10733. Prime factorization of 10733 in exponential form is:

10733 = 10733¹

Step-3: Factors of 10725

List of positive integer factors of 10725 that divides 10725 without a remainder.

1, 3, 5, 11, 13, 15, 25, 33, 39, 55, 65, 75, 143, 165, 195, 275, 325, 429, 715, 825, 975, 2145, 3575

Step-4: Factors of 10733

List of positive integer factors of 10733 that divides 10725 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10725 and 10733. The biggest common factor number is the GCF number.
So the greatest common factor 10725 and 10733 is 1.

Also check out the Least Common Multiple of 10725 and 10733