What is the Greatest Common Factor of 53040 and 53052?

Greatest common factor (GCF) of 53040 and 53052 is 12.

GCF(53040,53052) = 12

We will now calculate the prime factors of 53040 and 53052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53040 and 53052.

How to find the GCF of 53040 and 53052?

We will first find the prime factorization of 53040 and 53052. After we will calculate the factors of 53040 and 53052 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 53052

Prime factors of 53052 are 2, 3, 4421. Prime factorization of 53052 in exponential form is:

53052 = 2² × 3¹ × 4421¹

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 53052

List of positive integer factors of 53052 that divides 53040 without a remainder.

1, 2, 3, 4, 6, 12, 4421, 8842, 13263, 17684, 26526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53040 and 53052. The biggest common factor number is the GCF number.
So the greatest common factor 53040 and 53052 is 12.

Also check out the Least Common Multiple of 53040 and 53052