What is the Greatest Common Factor of 52029 and 52035?

Greatest common factor (GCF) of 52029 and 52035 is 3.

GCF(52029,52035) = 3

We will now calculate the prime factors of 52029 and 52035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52029 and 52035.

How to find the GCF of 52029 and 52035?

We will first find the prime factorization of 52029 and 52035. After we will calculate the factors of 52029 and 52035 and find the biggest common factor number .

Step-1: Prime Factorization of 52029

Prime factors of 52029 are 3, 41, 47. Prime factorization of 52029 in exponential form is:

52029 = 3³ × 41¹ × 47¹

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 52029

List of positive integer factors of 52029 that divides 52029 without a remainder.

1, 3, 9, 27, 41, 47, 123, 141, 369, 423, 1107, 1269, 1927, 5781, 17343

Step-4: Factors of 52035

List of positive integer factors of 52035 that divides 52029 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52029 and 52035. The biggest common factor number is the GCF number.
So the greatest common factor 52029 and 52035 is 3.

Also check out the Least Common Multiple of 52029 and 52035