What is the Greatest Common Factor of 88050 and 88065?

Greatest common factor (GCF) of 88050 and 88065 is 15.

GCF(88050,88065) = 15

We will now calculate the prime factors of 88050 and 88065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88050 and 88065.

How to find the GCF of 88050 and 88065?

We will first find the prime factorization of 88050 and 88065. After we will calculate the factors of 88050 and 88065 and find the biggest common factor number .

Step-1: Prime Factorization of 88050

Prime factors of 88050 are 2, 3, 5, 587. Prime factorization of 88050 in exponential form is:

88050 = 2¹ × 3¹ × 5² × 587¹

Step-2: Prime Factorization of 88065

Prime factors of 88065 are 3, 5, 19, 103. Prime factorization of 88065 in exponential form is:

88065 = 3² × 5¹ × 19¹ × 103¹

Step-3: Factors of 88050

List of positive integer factors of 88050 that divides 88050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 587, 1174, 1761, 2935, 3522, 5870, 8805, 14675, 17610, 29350, 44025

Step-4: Factors of 88065

List of positive integer factors of 88065 that divides 88050 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 103, 171, 285, 309, 515, 855, 927, 1545, 1957, 4635, 5871, 9785, 17613, 29355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88050 and 88065. The biggest common factor number is the GCF number.
So the greatest common factor 88050 and 88065 is 15.

Also check out the Least Common Multiple of 88050 and 88065