What is the Greatest Common Factor of 52025 and 52029?

Greatest common factor (GCF) of 52025 and 52029 is 1.

GCF(52025,52029) = 1

We will now calculate the prime factors of 52025 and 52029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52025 and 52029.

How to find the GCF of 52025 and 52029?

We will first find the prime factorization of 52025 and 52029. After we will calculate the factors of 52025 and 52029 and find the biggest common factor number .

Step-1: Prime Factorization of 52025

Prime factors of 52025 are 5, 2081. Prime factorization of 52025 in exponential form is:

52025 = 5² × 2081¹

Step-2: 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-3: Factors of 52025

List of positive integer factors of 52025 that divides 52025 without a remainder.

1, 5, 25, 2081, 10405

Step-4: Factors of 52029

List of positive integer factors of 52029 that divides 52025 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52025 and 52029. The biggest common factor number is the GCF number.
So the greatest common factor 52025 and 52029 is 1.

Also check out the Least Common Multiple of 52025 and 52029