What is the Greatest Common Factor of 87356 and 87360?

Greatest common factor (GCF) of 87356 and 87360 is 4.

GCF(87356,87360) = 4

We will now calculate the prime factors of 87356 and 87360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87356 and 87360.

How to find the GCF of 87356 and 87360?

We will first find the prime factorization of 87356 and 87360. After we will calculate the factors of 87356 and 87360 and find the biggest common factor number .

Step-1: Prime Factorization of 87356

Prime factors of 87356 are 2, 21839. Prime factorization of 87356 in exponential form is:

87356 = 2² × 21839¹

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 87356

List of positive integer factors of 87356 that divides 87356 without a remainder.

1, 2, 4, 21839, 43678

Step-4: Factors of 87360

List of positive integer factors of 87360 that divides 87356 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 87356 and 87360. The biggest common factor number is the GCF number.
So the greatest common factor 87356 and 87360 is 4.

Also check out the Least Common Multiple of 87356 and 87360