What is the Greatest Common Factor of 87342 and 87360?

Greatest common factor (GCF) of 87342 and 87360 is 6.

GCF(87342,87360) = 6

We will now calculate the prime factors of 87342 and 87360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87342 and 87360.

How to find the GCF of 87342 and 87360?

We will first find the prime factorization of 87342 and 87360. After we will calculate the factors of 87342 and 87360 and find the biggest common factor number .

Step-1: Prime Factorization of 87342

Prime factors of 87342 are 2, 3, 14557. Prime factorization of 87342 in exponential form is:

87342 = 2¹ × 3¹ × 14557¹

Step-2: 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-3: Factors of 87342

List of positive integer factors of 87342 that divides 87342 without a remainder.

1, 2, 3, 6, 14557, 29114, 43671

Step-4: Factors of 87360

List of positive integer factors of 87360 that divides 87342 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87342 and 87360. The biggest common factor number is the GCF number.
So the greatest common factor 87342 and 87360 is 6.

Also check out the Least Common Multiple of 87342 and 87360