What is the Greatest Common Factor of 43560 and 43575?

Greatest common factor (GCF) of 43560 and 43575 is 15.

GCF(43560,43575) = 15

We will now calculate the prime factors of 43560 and 43575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43560 and 43575.

How to find the GCF of 43560 and 43575?

We will first find the prime factorization of 43560 and 43575. After we will calculate the factors of 43560 and 43575 and find the biggest common factor number .

Step-1: Prime Factorization of 43560

Prime factors of 43560 are 2, 3, 5, 11. Prime factorization of 43560 in exponential form is:

43560 = 2³ × 3² × 5¹ × 11²

Step-2: Prime Factorization of 43575

Prime factors of 43575 are 3, 5, 7, 83. Prime factorization of 43575 in exponential form is:

43575 = 3¹ × 5² × 7¹ × 83¹

Step-3: Factors of 43560

List of positive integer factors of 43560 that divides 43560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 55, 60, 66, 72, 88, 90, 99, 110, 120, 121, 132, 165, 180, 198, 220, 242, 264, 330, 360, 363, 396, 440, 484, 495, 605, 660, 726, 792, 968, 990, 1089, 1210, 1320, 1452, 1815, 1980, 2178, 2420, 2904, 3630, 3960, 4356, 4840, 5445, 7260, 8712, 10890, 14520, 21780

Step-4: Factors of 43575

List of positive integer factors of 43575 that divides 43560 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 83, 105, 175, 249, 415, 525, 581, 1245, 1743, 2075, 2905, 6225, 8715, 14525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43560 and 43575. The biggest common factor number is the GCF number.
So the greatest common factor 43560 and 43575 is 15.

Also check out the Least Common Multiple of 43560 and 43575