What is the Greatest Common Factor of 53040 and 53057?

Greatest common factor (GCF) of 53040 and 53057 is 17.

GCF(53040,53057) = 17

We will now calculate the prime factors of 53040 and 53057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53040 and 53057.

How to find the GCF of 53040 and 53057?

We will first find the prime factorization of 53040 and 53057. After we will calculate the factors of 53040 and 53057 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 53057

Prime factors of 53057 are 17, 3121. Prime factorization of 53057 in exponential form is:

53057 = 17¹ × 3121¹

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 53057

List of positive integer factors of 53057 that divides 53040 without a remainder.

1, 17, 3121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53040 and 53057. The biggest common factor number is the GCF number.
So the greatest common factor 53040 and 53057 is 17.

Also check out the Least Common Multiple of 53040 and 53057