What is the Greatest Common Factor of 87360 and 87375?

Greatest common factor (GCF) of 87360 and 87375 is 15.

GCF(87360,87375) = 15

We will now calculate the prime factors of 87360 and 87375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87360 and 87375.

How to find the GCF of 87360 and 87375?

We will first find the prime factorization of 87360 and 87375. After we will calculate the factors of 87360 and 87375 and find the biggest common factor number .

Step-1: Prime Factorization of 87360

Prime factors of 87360 are 2, 3, 5, 7, 13. Prime factorization of 87360 in exponential form is:

87360 = 2⁶ × 3¹ × 5¹ × 7¹ × 13¹

Step-2: Prime Factorization of 87375

Prime factors of 87375 are 3, 5, 233. Prime factorization of 87375 in exponential form is:

87375 = 3¹ × 5³ × 233¹

Step-3: Factors of 87360

List of positive integer factors of 87360 that divides 87360 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 13, 14, 15, 16, 20, 21, 24, 26, 28, 30, 32, 35, 39, 40, 42, 48, 52, 56, 60, 64, 65, 70, 78, 80, 84, 91, 96, 104, 105, 112, 120, 130, 140, 156, 160, 168, 182, 192, 195, 208, 210, 224, 240, 260, 273, 280, 312, 320, 336, 364, 390, 416, 420, 448, 455, 480, 520, 546, 560, 624, 672, 728, 780, 832, 840, 910, 960, 1040, 1092, 1120, 1248, 1344, 1365, 1456, 1560, 1680, 1820, 2080, 2184, 2240, 2496, 2730, 2912, 3120, 3360, 3640, 4160, 4368, 5460, 5824, 6240, 6720, 7280, 8736, 10920, 12480, 14560, 17472, 21840, 29120, 43680

Step-4: Factors of 87375

List of positive integer factors of 87375 that divides 87360 without a remainder.

1, 3, 5, 15, 25, 75, 125, 233, 375, 699, 1165, 3495, 5825, 17475, 29125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87360 and 87375. The biggest common factor number is the GCF number.
So the greatest common factor 87360 and 87375 is 15.

Also check out the Least Common Multiple of 87360 and 87375