What is the Greatest Common Factor of 87347 and 87360?

Greatest common factor (GCF) of 87347 and 87360 is 13.

GCF(87347,87360) = 13

We will now calculate the prime factors of 87347 and 87360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87347 and 87360.

How to find the GCF of 87347 and 87360?

We will first find the prime factorization of 87347 and 87360. After we will calculate the factors of 87347 and 87360 and find the biggest common factor number .

Step-1: Prime Factorization of 87347

Prime factors of 87347 are 13, 6719. Prime factorization of 87347 in exponential form is:

87347 = 13¹ × 6719¹

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 87347

List of positive integer factors of 87347 that divides 87347 without a remainder.

1, 13, 6719

Step-4: Factors of 87360

List of positive integer factors of 87360 that divides 87347 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 87347 and 87360. The biggest common factor number is the GCF number.
So the greatest common factor 87347 and 87360 is 13.

Also check out the Least Common Multiple of 87347 and 87360