What is the Greatest Common Factor of 88544 and 88560?

Greatest common factor (GCF) of 88544 and 88560 is 16.

GCF(88544,88560) = 16

We will now calculate the prime factors of 88544 and 88560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88544 and 88560.

How to find the GCF of 88544 and 88560?

We will first find the prime factorization of 88544 and 88560. After we will calculate the factors of 88544 and 88560 and find the biggest common factor number .

Step-1: Prime Factorization of 88544

Prime factors of 88544 are 2, 2767. Prime factorization of 88544 in exponential form is:

88544 = 2⁵ × 2767¹

Step-2: 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-3: Factors of 88544

List of positive integer factors of 88544 that divides 88544 without a remainder.

1, 2, 4, 8, 16, 32, 2767, 5534, 11068, 22136, 44272

Step-4: Factors of 88560

List of positive integer factors of 88560 that divides 88544 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88544 and 88560. The biggest common factor number is the GCF number.
So the greatest common factor 88544 and 88560 is 16.

Also check out the Least Common Multiple of 88544 and 88560