What is the Greatest Common Factor of 65520 and 65530?

Greatest common factor (GCF) of 65520 and 65530 is 10.

GCF(65520,65530) = 10

We will now calculate the prime factors of 65520 and 65530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65520 and 65530.

How to find the GCF of 65520 and 65530?

We will first find the prime factorization of 65520 and 65530. After we will calculate the factors of 65520 and 65530 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 65530

Prime factors of 65530 are 2, 5, 6553. Prime factorization of 65530 in exponential form is:

65530 = 2¹ × 5¹ × 6553¹

Step-3: Factors of 65520

List of positive integer factors of 65520 that divides 65520 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

Step-4: Factors of 65530

List of positive integer factors of 65530 that divides 65520 without a remainder.

1, 2, 5, 10, 6553, 13106, 32765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65520 and 65530. The biggest common factor number is the GCF number.
So the greatest common factor 65520 and 65530 is 10.

Also check out the Least Common Multiple of 65520 and 65530