What is the Greatest Common Factor of 10725 and 10743?

Greatest common factor (GCF) of 10725 and 10743 is 3.

GCF(10725,10743) = 3

We will now calculate the prime factors of 10725 and 10743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10725 and 10743.

How to find the GCF of 10725 and 10743?

We will first find the prime factorization of 10725 and 10743. After we will calculate the factors of 10725 and 10743 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 10743

Prime factors of 10743 are 3, 3581. Prime factorization of 10743 in exponential form is:

10743 = 3¹ × 3581¹

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 10743

List of positive integer factors of 10743 that divides 10725 without a remainder.

1, 3, 3581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10725 and 10743. The biggest common factor number is the GCF number.
So the greatest common factor 10725 and 10743 is 3.

Also check out the Least Common Multiple of 10725 and 10743