What is the Greatest Common Factor of 10725 and 10729?

Greatest common factor (GCF) of 10725 and 10729 is 1.

GCF(10725,10729) = 1

We will now calculate the prime factors of 10725 and 10729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10725 and 10729.

How to find the GCF of 10725 and 10729?

We will first find the prime factorization of 10725 and 10729. After we will calculate the factors of 10725 and 10729 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 10729

Prime factors of 10729 are 10729. Prime factorization of 10729 in exponential form is:

10729 = 10729¹

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 10729

List of positive integer factors of 10729 that divides 10725 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10725 and 10729. The biggest common factor number is the GCF number.
So the greatest common factor 10725 and 10729 is 1.

Also check out the Least Common Multiple of 10725 and 10729