What is the Greatest Common Factor of 88560 and 88575?

Greatest common factor (GCF) of 88560 and 88575 is 15.

GCF(88560,88575) = 15

We will now calculate the prime factors of 88560 and 88575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88560 and 88575.

How to find the GCF of 88560 and 88575?

We will first find the prime factorization of 88560 and 88575. After we will calculate the factors of 88560 and 88575 and find the biggest common factor number .

Step-1: Prime Factorization of 88560

Prime factors of 88560 are 2, 3, 5, 41. Prime factorization of 88560 in exponential form is:

88560 = 2⁴ × 3³ × 5¹ × 41¹

Step-2: Prime Factorization of 88575

Prime factors of 88575 are 3, 5, 1181. Prime factorization of 88575 in exponential form is:

88575 = 3¹ × 5² × 1181¹

Step-3: Factors of 88560

List of positive integer factors of 88560 that divides 88560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 41, 45, 48, 54, 60, 72, 80, 82, 90, 108, 120, 123, 135, 144, 164, 180, 205, 216, 240, 246, 270, 328, 360, 369, 410, 432, 492, 540, 615, 656, 720, 738, 820, 984, 1080, 1107, 1230, 1476, 1640, 1845, 1968, 2160, 2214, 2460, 2952, 3280, 3690, 4428, 4920, 5535, 5904, 7380, 8856, 9840, 11070, 14760, 17712, 22140, 29520, 44280

Step-4: Factors of 88575

List of positive integer factors of 88575 that divides 88560 without a remainder.

1, 3, 5, 15, 25, 75, 1181, 3543, 5905, 17715, 29525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88560 and 88575. The biggest common factor number is the GCF number.
So the greatest common factor 88560 and 88575 is 15.

Also check out the Least Common Multiple of 88560 and 88575