What is the Greatest Common Factor of 87360 and 87369?

Greatest common factor (GCF) of 87360 and 87369 is 3.

GCF(87360,87369) = 3

We will now calculate the prime factors of 87360 and 87369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87360 and 87369.

How to find the GCF of 87360 and 87369?

We will first find the prime factorization of 87360 and 87369. After we will calculate the factors of 87360 and 87369 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 87369

Prime factors of 87369 are 3, 29123. Prime factorization of 87369 in exponential form is:

87369 = 3¹ × 29123¹

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 87369

List of positive integer factors of 87369 that divides 87360 without a remainder.

1, 3, 29123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87360 and 87369. The biggest common factor number is the GCF number.
So the greatest common factor 87360 and 87369 is 3.

Also check out the Least Common Multiple of 87360 and 87369