What is the Greatest Common Factor of 52245 and 52260?

Greatest common factor (GCF) of 52245 and 52260 is 15.

GCF(52245,52260) = 15

We will now calculate the prime factors of 52245 and 52260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52245 and 52260.

How to find the GCF of 52245 and 52260?

We will first find the prime factorization of 52245 and 52260. After we will calculate the factors of 52245 and 52260 and find the biggest common factor number .

Step-1: Prime Factorization of 52245

Prime factors of 52245 are 3, 5, 43. Prime factorization of 52245 in exponential form is:

52245 = 3⁵ × 5¹ × 43¹

Step-2: Prime Factorization of 52260

Prime factors of 52260 are 2, 3, 5, 13, 67. Prime factorization of 52260 in exponential form is:

52260 = 2² × 3¹ × 5¹ × 13¹ × 67¹

Step-3: Factors of 52245

List of positive integer factors of 52245 that divides 52245 without a remainder.

1, 3, 5, 9, 15, 27, 43, 45, 81, 129, 135, 215, 243, 387, 405, 645, 1161, 1215, 1935, 3483, 5805, 10449, 17415

Step-4: Factors of 52260

List of positive integer factors of 52260 that divides 52245 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 67, 78, 130, 134, 156, 195, 201, 260, 268, 335, 390, 402, 670, 780, 804, 871, 1005, 1340, 1742, 2010, 2613, 3484, 4020, 4355, 5226, 8710, 10452, 13065, 17420, 26130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52245 and 52260. The biggest common factor number is the GCF number.
So the greatest common factor 52245 and 52260 is 15.

Also check out the Least Common Multiple of 52245 and 52260