What is the Greatest Common Factor of 88725 and 88733?

Greatest common factor (GCF) of 88725 and 88733 is 1.

GCF(88725,88733) = 1

We will now calculate the prime factors of 88725 and 88733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88725 and 88733.

How to find the GCF of 88725 and 88733?

We will first find the prime factorization of 88725 and 88733. After we will calculate the factors of 88725 and 88733 and find the biggest common factor number .

Step-1: Prime Factorization of 88725

Prime factors of 88725 are 3, 5, 7, 13. Prime factorization of 88725 in exponential form is:

88725 = 3¹ × 5² × 7¹ × 13²

Step-2: Prime Factorization of 88733

Prime factors of 88733 are 89, 997. Prime factorization of 88733 in exponential form is:

88733 = 89¹ × 997¹

Step-3: Factors of 88725

List of positive integer factors of 88725 that divides 88725 without a remainder.

1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 65, 75, 91, 105, 169, 175, 195, 273, 325, 455, 507, 525, 845, 975, 1183, 1365, 2275, 2535, 3549, 4225, 5915, 6825, 12675, 17745, 29575

Step-4: Factors of 88733

List of positive integer factors of 88733 that divides 88725 without a remainder.

1, 89, 997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88725 and 88733. The biggest common factor number is the GCF number.
So the greatest common factor 88725 and 88733 is 1.

Also check out the Least Common Multiple of 88725 and 88733