What is the Greatest Common Factor of 52140 and 52145?

Greatest common factor (GCF) of 52140 and 52145 is 5.

GCF(52140,52145) = 5

We will now calculate the prime factors of 52140 and 52145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52140 and 52145.

How to find the GCF of 52140 and 52145?

We will first find the prime factorization of 52140 and 52145. After we will calculate the factors of 52140 and 52145 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 52145

Prime factors of 52145 are 5, 10429. Prime factorization of 52145 in exponential form is:

52145 = 5¹ × 10429¹

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 52145

List of positive integer factors of 52145 that divides 52140 without a remainder.

1, 5, 10429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52140 and 52145. The biggest common factor number is the GCF number.
So the greatest common factor 52140 and 52145 is 5.

Also check out the Least Common Multiple of 52140 and 52145