What is the Greatest Common Factor of 52140 and 52155?

Greatest common factor (GCF) of 52140 and 52155 is 15.

GCF(52140,52155) = 15

We will now calculate the prime factors of 52140 and 52155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52140 and 52155.

How to find the GCF of 52140 and 52155?

We will first find the prime factorization of 52140 and 52155. After we will calculate the factors of 52140 and 52155 and find the biggest common factor number .

Step-1: Prime Factorization of 52140

Prime factors of 52140 are 2, 3, 5, 11, 79. Prime factorization of 52140 in exponential form is:

52140 = 2² × 3¹ × 5¹ × 11¹ × 79¹

Step-2: Prime Factorization of 52155

Prime factors of 52155 are 3, 5, 19, 61. Prime factorization of 52155 in exponential form is:

52155 = 3² × 5¹ × 19¹ × 61¹

Step-3: Factors of 52140

List of positive integer factors of 52140 that divides 52140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 79, 110, 132, 158, 165, 220, 237, 316, 330, 395, 474, 660, 790, 869, 948, 1185, 1580, 1738, 2370, 2607, 3476, 4345, 4740, 5214, 8690, 10428, 13035, 17380, 26070

Step-4: Factors of 52155

List of positive integer factors of 52155 that divides 52140 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 61, 95, 171, 183, 285, 305, 549, 855, 915, 1159, 2745, 3477, 5795, 10431, 17385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52140 and 52155. The biggest common factor number is the GCF number.
So the greatest common factor 52140 and 52155 is 15.

Also check out the Least Common Multiple of 52140 and 52155