What is the Greatest Common Factor of 52515 and 52520?

Greatest common factor (GCF) of 52515 and 52520 is 5.

GCF(52515,52520) = 5

We will now calculate the prime factors of 52515 and 52520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52515 and 52520.

How to find the GCF of 52515 and 52520?

We will first find the prime factorization of 52515 and 52520. After we will calculate the factors of 52515 and 52520 and find the biggest common factor number .

Step-1: Prime Factorization of 52515

Prime factors of 52515 are 3, 5, 389. Prime factorization of 52515 in exponential form is:

52515 = 3³ × 5¹ × 389¹

Step-2: Prime Factorization of 52520

Prime factors of 52520 are 2, 5, 13, 101. Prime factorization of 52520 in exponential form is:

52520 = 2³ × 5¹ × 13¹ × 101¹

Step-3: Factors of 52515

List of positive integer factors of 52515 that divides 52515 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 389, 1167, 1945, 3501, 5835, 10503, 17505

Step-4: Factors of 52520

List of positive integer factors of 52520 that divides 52515 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 101, 104, 130, 202, 260, 404, 505, 520, 808, 1010, 1313, 2020, 2626, 4040, 5252, 6565, 10504, 13130, 26260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52515 and 52520. The biggest common factor number is the GCF number.
So the greatest common factor 52515 and 52520 is 5.

Also check out the Least Common Multiple of 52515 and 52520