What is the Greatest Common Factor of 52140 and 52158?

Greatest common factor (GCF) of 52140 and 52158 is 6.

GCF(52140,52158) = 6

We will now calculate the prime factors of 52140 and 52158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52140 and 52158.

How to find the GCF of 52140 and 52158?

We will first find the prime factorization of 52140 and 52158. After we will calculate the factors of 52140 and 52158 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 52158

Prime factors of 52158 are 2, 3, 8693. Prime factorization of 52158 in exponential form is:

52158 = 2¹ × 3¹ × 8693¹

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 52158

List of positive integer factors of 52158 that divides 52140 without a remainder.

1, 2, 3, 6, 8693, 17386, 26079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52140 and 52158. The biggest common factor number is the GCF number.
So the greatest common factor 52140 and 52158 is 6.

Also check out the Least Common Multiple of 52140 and 52158