What is the Greatest Common Factor of 53040 and 53055?

Greatest common factor (GCF) of 53040 and 53055 is 15.

GCF(53040,53055) = 15

We will now calculate the prime factors of 53040 and 53055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53040 and 53055.

How to find the GCF of 53040 and 53055?

We will first find the prime factorization of 53040 and 53055. After we will calculate the factors of 53040 and 53055 and find the biggest common factor number .

Step-1: Prime Factorization of 53040

Prime factors of 53040 are 2, 3, 5, 13, 17. Prime factorization of 53040 in exponential form is:

53040 = 2⁴ × 3¹ × 5¹ × 13¹ × 17¹

Step-2: Prime Factorization of 53055

Prime factors of 53055 are 3, 5, 131. Prime factorization of 53055 in exponential form is:

53055 = 3⁴ × 5¹ × 131¹

Step-3: Factors of 53040

List of positive integer factors of 53040 that divides 53040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 17, 20, 24, 26, 30, 34, 39, 40, 48, 51, 52, 60, 65, 68, 78, 80, 85, 102, 104, 120, 130, 136, 156, 170, 195, 204, 208, 221, 240, 255, 260, 272, 312, 340, 390, 408, 442, 510, 520, 624, 663, 680, 780, 816, 884, 1020, 1040, 1105, 1326, 1360, 1560, 1768, 2040, 2210, 2652, 3120, 3315, 3536, 4080, 4420, 5304, 6630, 8840, 10608, 13260, 17680, 26520

Step-4: Factors of 53055

List of positive integer factors of 53055 that divides 53040 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 131, 135, 393, 405, 655, 1179, 1965, 3537, 5895, 10611, 17685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53040 and 53055. The biggest common factor number is the GCF number.
So the greatest common factor 53040 and 53055 is 15.

Also check out the Least Common Multiple of 53040 and 53055