What is the Greatest Common Factor of 52140 and 52152?

Greatest common factor (GCF) of 52140 and 52152 is 12.

GCF(52140,52152) = 12

We will now calculate the prime factors of 52140 and 52152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52140 and 52152.

How to find the GCF of 52140 and 52152?

We will first find the prime factorization of 52140 and 52152. After we will calculate the factors of 52140 and 52152 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 52152

Prime factors of 52152 are 2, 3, 41, 53. Prime factorization of 52152 in exponential form is:

52152 = 2³ × 3¹ × 41¹ × 53¹

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 52152

List of positive integer factors of 52152 that divides 52140 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 53, 82, 106, 123, 159, 164, 212, 246, 318, 328, 424, 492, 636, 984, 1272, 2173, 4346, 6519, 8692, 13038, 17384, 26076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52140 and 52152. The biggest common factor number is the GCF number.
So the greatest common factor 52140 and 52152 is 12.

Also check out the Least Common Multiple of 52140 and 52152