What is the Greatest Common Factor of 52020 and 52035?

Greatest common factor (GCF) of 52020 and 52035 is 15.

GCF(52020,52035) = 15

We will now calculate the prime factors of 52020 and 52035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52020 and 52035.

How to find the GCF of 52020 and 52035?

We will first find the prime factorization of 52020 and 52035. After we will calculate the factors of 52020 and 52035 and find the biggest common factor number .

Step-1: Prime Factorization of 52020

Prime factors of 52020 are 2, 3, 5, 17. Prime factorization of 52020 in exponential form is:

52020 = 2² × 3² × 5¹ × 17²

Step-2: Prime Factorization of 52035

Prime factors of 52035 are 3, 5, 3469. Prime factorization of 52035 in exponential form is:

52035 = 3¹ × 5¹ × 3469¹

Step-3: Factors of 52020

List of positive integer factors of 52020 that divides 52020 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45, 51, 60, 68, 85, 90, 102, 153, 170, 180, 204, 255, 289, 306, 340, 510, 578, 612, 765, 867, 1020, 1156, 1445, 1530, 1734, 2601, 2890, 3060, 3468, 4335, 5202, 5780, 8670, 10404, 13005, 17340, 26010

Step-4: Factors of 52035

List of positive integer factors of 52035 that divides 52020 without a remainder.

1, 3, 5, 15, 3469, 10407, 17345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52020 and 52035. The biggest common factor number is the GCF number.
So the greatest common factor 52020 and 52035 is 15.

Also check out the Least Common Multiple of 52020 and 52035