What is the Greatest Common Factor of 65520 and 65528?

Greatest common factor (GCF) of 65520 and 65528 is 8.

GCF(65520,65528) = 8

We will now calculate the prime factors of 65520 and 65528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65520 and 65528.

How to find the GCF of 65520 and 65528?

We will first find the prime factorization of 65520 and 65528. After we will calculate the factors of 65520 and 65528 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 65528

Prime factors of 65528 are 2, 8191. Prime factorization of 65528 in exponential form is:

65528 = 2³ × 8191¹

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 65528

List of positive integer factors of 65528 that divides 65520 without a remainder.

1, 2, 4, 8, 8191, 16382, 32764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65520 and 65528. The biggest common factor number is the GCF number.
So the greatest common factor 65520 and 65528 is 8.

Also check out the Least Common Multiple of 65520 and 65528