What is the Greatest Common Factor of 65025 and 65038?

Greatest common factor (GCF) of 65025 and 65038 is 1.

GCF(65025,65038) = 1

We will now calculate the prime factors of 65025 and 65038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65025 and 65038.

How to find the GCF of 65025 and 65038?

We will first find the prime factorization of 65025 and 65038. After we will calculate the factors of 65025 and 65038 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 65038

Prime factors of 65038 are 2, 31, 1049. Prime factorization of 65038 in exponential form is:

65038 = 2¹ × 31¹ × 1049¹

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 65038

List of positive integer factors of 65038 that divides 65025 without a remainder.

1, 2, 31, 62, 1049, 2098, 32519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65025 and 65038. The biggest common factor number is the GCF number.
So the greatest common factor 65025 and 65038 is 1.

Also check out the Least Common Multiple of 65025 and 65038