What is the Greatest Common Factor of 88080 and 88095?

Greatest common factor (GCF) of 88080 and 88095 is 15.

GCF(88080,88095) = 15

We will now calculate the prime factors of 88080 and 88095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88080 and 88095.

How to find the GCF of 88080 and 88095?

We will first find the prime factorization of 88080 and 88095. After we will calculate the factors of 88080 and 88095 and find the biggest common factor number .

Step-1: Prime Factorization of 88080

Prime factors of 88080 are 2, 3, 5, 367. Prime factorization of 88080 in exponential form is:

88080 = 2⁴ × 3¹ × 5¹ × 367¹

Step-2: Prime Factorization of 88095

Prime factors of 88095 are 3, 5, 7, 839. Prime factorization of 88095 in exponential form is:

88095 = 3¹ × 5¹ × 7¹ × 839¹

Step-3: Factors of 88080

List of positive integer factors of 88080 that divides 88080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 367, 734, 1101, 1468, 1835, 2202, 2936, 3670, 4404, 5505, 5872, 7340, 8808, 11010, 14680, 17616, 22020, 29360, 44040

Step-4: Factors of 88095

List of positive integer factors of 88095 that divides 88080 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 839, 2517, 4195, 5873, 12585, 17619, 29365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88080 and 88095. The biggest common factor number is the GCF number.
So the greatest common factor 88080 and 88095 is 15.

Also check out the Least Common Multiple of 88080 and 88095