What is the Greatest Common Factor of 52140 and 52160?

Greatest common factor (GCF) of 52140 and 52160 is 20.

GCF(52140,52160) = 20

We will now calculate the prime factors of 52140 and 52160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52140 and 52160.

How to find the GCF of 52140 and 52160?

We will first find the prime factorization of 52140 and 52160. After we will calculate the factors of 52140 and 52160 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 52160

Prime factors of 52160 are 2, 5, 163. Prime factorization of 52160 in exponential form is:

52160 = 2⁶ × 5¹ × 163¹

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 52160

List of positive integer factors of 52160 that divides 52140 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 163, 320, 326, 652, 815, 1304, 1630, 2608, 3260, 5216, 6520, 10432, 13040, 26080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52140 and 52160. The biggest common factor number is the GCF number.
So the greatest common factor 52140 and 52160 is 20.

Also check out the Least Common Multiple of 52140 and 52160