What is the Greatest Common Factor of 53130 and 53149?

Greatest common factor (GCF) of 53130 and 53149 is 1.

GCF(53130,53149) = 1

We will now calculate the prime factors of 53130 and 53149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53130 and 53149.

How to find the GCF of 53130 and 53149?

We will first find the prime factorization of 53130 and 53149. After we will calculate the factors of 53130 and 53149 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 53149

Prime factors of 53149 are 53149. Prime factorization of 53149 in exponential form is:

53149 = 53149¹

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 53149

List of positive integer factors of 53149 that divides 53130 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53130 and 53149. The biggest common factor number is the GCF number.
So the greatest common factor 53130 and 53149 is 1.

Also check out the Least Common Multiple of 53130 and 53149