What is the Greatest Common Factor of 87360 and 87368?

Greatest common factor (GCF) of 87360 and 87368 is 8.

GCF(87360,87368) = 8

We will now calculate the prime factors of 87360 and 87368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87360 and 87368.

How to find the GCF of 87360 and 87368?

We will first find the prime factorization of 87360 and 87368. After we will calculate the factors of 87360 and 87368 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 87368

Prime factors of 87368 are 2, 67, 163. Prime factorization of 87368 in exponential form is:

87368 = 2³ × 67¹ × 163¹

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 87368

List of positive integer factors of 87368 that divides 87360 without a remainder.

1, 2, 4, 8, 67, 134, 163, 268, 326, 536, 652, 1304, 10921, 21842, 43684

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87360 and 87368. The biggest common factor number is the GCF number.
So the greatest common factor 87360 and 87368 is 8.

Also check out the Least Common Multiple of 87360 and 87368