What is the Greatest Common Factor of 65514 and 65520?

Greatest common factor (GCF) of 65514 and 65520 is 6.

GCF(65514,65520) = 6

We will now calculate the prime factors of 65514 and 65520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65514 and 65520.

How to find the GCF of 65514 and 65520?

We will first find the prime factorization of 65514 and 65520. After we will calculate the factors of 65514 and 65520 and find the biggest common factor number .

Step-1: Prime Factorization of 65514

Prime factors of 65514 are 2, 3, 61, 179. Prime factorization of 65514 in exponential form is:

65514 = 2¹ × 3¹ × 61¹ × 179¹

Step-2: Prime Factorization of 65520

Prime factors of 65520 are 2, 3, 5, 7, 13. Prime factorization of 65520 in exponential form is:

65520 = 2⁴ × 3² × 5¹ × 7¹ × 13¹

Step-3: Factors of 65514

List of positive integer factors of 65514 that divides 65514 without a remainder.

1, 2, 3, 6, 61, 122, 179, 183, 358, 366, 537, 1074, 10919, 21838, 32757

Step-4: Factors of 65520

List of positive integer factors of 65520 that divides 65514 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 20, 21, 24, 26, 28, 30, 35, 36, 39, 40, 42, 45, 48, 52, 56, 60, 63, 65, 70, 72, 78, 80, 84, 90, 91, 104, 105, 112, 117, 120, 126, 130, 140, 144, 156, 168, 180, 182, 195, 208, 210, 234, 240, 252, 260, 273, 280, 312, 315, 336, 360, 364, 390, 420, 455, 468, 504, 520, 546, 560, 585, 624, 630, 720, 728, 780, 819, 840, 910, 936, 1008, 1040, 1092, 1170, 1260, 1365, 1456, 1560, 1638, 1680, 1820, 1872, 2184, 2340, 2520, 2730, 3120, 3276, 3640, 4095, 4368, 4680, 5040, 5460, 6552, 7280, 8190, 9360, 10920, 13104, 16380, 21840, 32760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65514 and 65520. The biggest common factor number is the GCF number.
So the greatest common factor 65514 and 65520 is 6.

Also check out the Least Common Multiple of 65514 and 65520