What is the Greatest Common Factor of 65025 and 65044?

Greatest common factor (GCF) of 65025 and 65044 is 1.

GCF(65025,65044) = 1

We will now calculate the prime factors of 65025 and 65044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65025 and 65044.

How to find the GCF of 65025 and 65044?

We will first find the prime factorization of 65025 and 65044. After we will calculate the factors of 65025 and 65044 and find the biggest common factor number .

Step-1: Prime Factorization of 65025

Prime factors of 65025 are 3, 5, 17. Prime factorization of 65025 in exponential form is:

65025 = 3² × 5² × 17²

Step-2: Prime Factorization of 65044

Prime factors of 65044 are 2, 7, 23, 101. Prime factorization of 65044 in exponential form is:

65044 = 2² × 7¹ × 23¹ × 101¹

Step-3: Factors of 65025

List of positive integer factors of 65025 that divides 65025 without a remainder.

1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 289, 425, 765, 867, 1275, 1445, 2601, 3825, 4335, 7225, 13005, 21675

Step-4: Factors of 65044

List of positive integer factors of 65044 that divides 65025 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 101, 161, 202, 322, 404, 644, 707, 1414, 2323, 2828, 4646, 9292, 16261, 32522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65025 and 65044. The biggest common factor number is the GCF number.
So the greatest common factor 65025 and 65044 is 1.

Also check out the Least Common Multiple of 65025 and 65044