What is the Greatest Common Factor of 53117 and 53130?

Greatest common factor (GCF) of 53117 and 53130 is 1.

GCF(53117,53130) = 1

We will now calculate the prime factors of 53117 and 53130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53117 and 53130.

How to find the GCF of 53117 and 53130?

We will first find the prime factorization of 53117 and 53130. After we will calculate the factors of 53117 and 53130 and find the biggest common factor number .

Step-1: Prime Factorization of 53117

Prime factors of 53117 are 53117. Prime factorization of 53117 in exponential form is:

53117 = 53117¹

Step-2: 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-3: Factors of 53117

List of positive integer factors of 53117 that divides 53117 without a remainder.

Step-4: Factors of 53130

List of positive integer factors of 53130 that divides 53117 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53117 and 53130. The biggest common factor number is the GCF number.
So the greatest common factor 53117 and 53130 is 1.

Also check out the Least Common Multiple of 53117 and 53130