What is the Greatest Common Factor of 28725 and 28729?

Greatest common factor (GCF) of 28725 and 28729 is 1.

GCF(28725,28729) = 1

We will now calculate the prime factors of 28725 and 28729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28725 and 28729.

How to find the GCF of 28725 and 28729?

We will first find the prime factorization of 28725 and 28729. After we will calculate the factors of 28725 and 28729 and find the biggest common factor number .

Step-1: Prime Factorization of 28725

Prime factors of 28725 are 3, 5, 383. Prime factorization of 28725 in exponential form is:

28725 = 3¹ × 5² × 383¹

Step-2: Prime Factorization of 28729

Prime factors of 28729 are 28729. Prime factorization of 28729 in exponential form is:

28729 = 28729¹

Step-3: Factors of 28725

List of positive integer factors of 28725 that divides 28725 without a remainder.

1, 3, 5, 15, 25, 75, 383, 1149, 1915, 5745, 9575

Step-4: Factors of 28729

List of positive integer factors of 28729 that divides 28725 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28725 and 28729. The biggest common factor number is the GCF number.
So the greatest common factor 28725 and 28729 is 1.

Also check out the Least Common Multiple of 28725 and 28729