What is the Greatest Common Factor of 65025 and 65043?

Greatest common factor (GCF) of 65025 and 65043 is 9.

GCF(65025,65043) = 9

We will now calculate the prime factors of 65025 and 65043, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65025 and 65043.

How to find the GCF of 65025 and 65043?

We will first find the prime factorization of 65025 and 65043. After we will calculate the factors of 65025 and 65043 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 65043

Prime factors of 65043 are 3, 11, 73. Prime factorization of 65043 in exponential form is:

65043 = 3⁴ × 11¹ × 73¹

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 65043

List of positive integer factors of 65043 that divides 65025 without a remainder.

1, 3, 9, 11, 27, 33, 73, 81, 99, 219, 297, 657, 803, 891, 1971, 2409, 5913, 7227, 21681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65025 and 65043. The biggest common factor number is the GCF number.
So the greatest common factor 65025 and 65043 is 9.

Also check out the Least Common Multiple of 65025 and 65043