What is the Greatest Common Factor of 53130 and 53143?

Greatest common factor (GCF) of 53130 and 53143 is 1.

GCF(53130,53143) = 1

We will now calculate the prime factors of 53130 and 53143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53130 and 53143.

How to find the GCF of 53130 and 53143?

We will first find the prime factorization of 53130 and 53143. After we will calculate the factors of 53130 and 53143 and find the biggest common factor number .

Step-1: Prime Factorization of 53130

Prime factors of 53130 are 2, 3, 5, 7, 11, 23. Prime factorization of 53130 in exponential form is:

53130 = 2¹ × 3¹ × 5¹ × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 53143

Prime factors of 53143 are 19, 2797. Prime factorization of 53143 in exponential form is:

53143 = 19¹ × 2797¹

Step-3: Factors of 53130

List of positive integer factors of 53130 that divides 53130 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 23, 30, 33, 35, 42, 46, 55, 66, 69, 70, 77, 105, 110, 115, 138, 154, 161, 165, 210, 230, 231, 253, 322, 330, 345, 385, 462, 483, 506, 690, 759, 770, 805, 966, 1155, 1265, 1518, 1610, 1771, 2310, 2415, 2530, 3542, 3795, 4830, 5313, 7590, 8855, 10626, 17710, 26565

Step-4: Factors of 53143

List of positive integer factors of 53143 that divides 53130 without a remainder.

1, 19, 2797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53130 and 53143. The biggest common factor number is the GCF number.
So the greatest common factor 53130 and 53143 is 1.

Also check out the Least Common Multiple of 53130 and 53143