What is the Greatest Common Factor of 87360 and 87373?

Greatest common factor (GCF) of 87360 and 87373 is 13.

GCF(87360,87373) = 13

We will now calculate the prime factors of 87360 and 87373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87360 and 87373.

How to find the GCF of 87360 and 87373?

We will first find the prime factorization of 87360 and 87373. After we will calculate the factors of 87360 and 87373 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 87373

Prime factors of 87373 are 11, 13, 47. Prime factorization of 87373 in exponential form is:

87373 = 11¹ × 13² × 47¹

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 87373

List of positive integer factors of 87373 that divides 87360 without a remainder.

1, 11, 13, 47, 143, 169, 517, 611, 1859, 6721, 7943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87360 and 87373. The biggest common factor number is the GCF number.
So the greatest common factor 87360 and 87373 is 13.

Also check out the Least Common Multiple of 87360 and 87373