What is the Greatest Common Factor of 88290 and 88305?

Greatest common factor (GCF) of 88290 and 88305 is 15.

GCF(88290,88305) = 15

We will now calculate the prime factors of 88290 and 88305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88290 and 88305.

How to find the GCF of 88290 and 88305?

We will first find the prime factorization of 88290 and 88305. After we will calculate the factors of 88290 and 88305 and find the biggest common factor number .

Step-1: Prime Factorization of 88290

Prime factors of 88290 are 2, 3, 5, 109. Prime factorization of 88290 in exponential form is:

88290 = 2¹ × 3⁴ × 5¹ × 109¹

Step-2: Prime Factorization of 88305

Prime factors of 88305 are 3, 5, 7, 29. Prime factorization of 88305 in exponential form is:

88305 = 3¹ × 5¹ × 7¹ × 29²

Step-3: Factors of 88290

List of positive integer factors of 88290 that divides 88290 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 109, 135, 162, 218, 270, 327, 405, 545, 654, 810, 981, 1090, 1635, 1962, 2943, 3270, 4905, 5886, 8829, 9810, 14715, 17658, 29430, 44145

Step-4: Factors of 88305

List of positive integer factors of 88305 that divides 88290 without a remainder.

1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 841, 1015, 2523, 3045, 4205, 5887, 12615, 17661, 29435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88290 and 88305. The biggest common factor number is the GCF number.
So the greatest common factor 88290 and 88305 is 15.

Also check out the Least Common Multiple of 88290 and 88305