What is the Greatest Common Factor of 53040 and 53058?

Greatest common factor (GCF) of 53040 and 53058 is 6.

GCF(53040,53058) = 6

We will now calculate the prime factors of 53040 and 53058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53040 and 53058.

How to find the GCF of 53040 and 53058?

We will first find the prime factorization of 53040 and 53058. After we will calculate the factors of 53040 and 53058 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 53058

Prime factors of 53058 are 2, 3, 37, 239. Prime factorization of 53058 in exponential form is:

53058 = 2¹ × 3¹ × 37¹ × 239¹

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 53058

List of positive integer factors of 53058 that divides 53040 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 239, 478, 717, 1434, 8843, 17686, 26529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53040 and 53058. The biggest common factor number is the GCF number.
So the greatest common factor 53040 and 53058 is 6.

Also check out the Least Common Multiple of 53040 and 53058