What is the Greatest Common Factor of 52146 and 52155?

Greatest common factor (GCF) of 52146 and 52155 is 9.

GCF(52146,52155) = 9

We will now calculate the prime factors of 52146 and 52155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52146 and 52155.

How to find the GCF of 52146 and 52155?

We will first find the prime factorization of 52146 and 52155. After we will calculate the factors of 52146 and 52155 and find the biggest common factor number .

Step-1: Prime Factorization of 52146

Prime factors of 52146 are 2, 3, 2897. Prime factorization of 52146 in exponential form is:

52146 = 2¹ × 3² × 2897¹

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 52146

List of positive integer factors of 52146 that divides 52146 without a remainder.

1, 2, 3, 6, 9, 18, 2897, 5794, 8691, 17382, 26073

Step-4: Factors of 52155

List of positive integer factors of 52155 that divides 52146 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 52146 and 52155. The biggest common factor number is the GCF number.
So the greatest common factor 52146 and 52155 is 9.

Also check out the Least Common Multiple of 52146 and 52155