What is the Greatest Common Factor of 88548 and 88560?

Greatest common factor (GCF) of 88548 and 88560 is 12.

GCF(88548,88560) = 12

We will now calculate the prime factors of 88548 and 88560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88548 and 88560.

How to find the GCF of 88548 and 88560?

We will first find the prime factorization of 88548 and 88560. After we will calculate the factors of 88548 and 88560 and find the biggest common factor number .

Step-1: Prime Factorization of 88548

Prime factors of 88548 are 2, 3, 47, 157. Prime factorization of 88548 in exponential form is:

88548 = 2² × 3¹ × 47¹ × 157¹

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 88548

List of positive integer factors of 88548 that divides 88548 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 157, 188, 282, 314, 471, 564, 628, 942, 1884, 7379, 14758, 22137, 29516, 44274

Step-4: Factors of 88560

List of positive integer factors of 88560 that divides 88548 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 88548 and 88560. The biggest common factor number is the GCF number.
So the greatest common factor 88548 and 88560 is 12.

Also check out the Least Common Multiple of 88548 and 88560