What is the Greatest Common Factor of 53040 and 53060?

Greatest common factor (GCF) of 53040 and 53060 is 20.

GCF(53040,53060) = 20

We will now calculate the prime factors of 53040 and 53060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53040 and 53060.

How to find the GCF of 53040 and 53060?

We will first find the prime factorization of 53040 and 53060. After we will calculate the factors of 53040 and 53060 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 53060

Prime factors of 53060 are 2, 5, 7, 379. Prime factorization of 53060 in exponential form is:

53060 = 2² × 5¹ × 7¹ × 379¹

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 53060

List of positive integer factors of 53060 that divides 53040 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 379, 758, 1516, 1895, 2653, 3790, 5306, 7580, 10612, 13265, 26530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53040 and 53060. The biggest common factor number is the GCF number.
So the greatest common factor 53040 and 53060 is 20.

Also check out the Least Common Multiple of 53040 and 53060