What is the Greatest Common Factor of 65025 and 65042?

Greatest common factor (GCF) of 65025 and 65042 is 17.

GCF(65025,65042) = 17

We will now calculate the prime factors of 65025 and 65042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65025 and 65042.

How to find the GCF of 65025 and 65042?

We will first find the prime factorization of 65025 and 65042. After we will calculate the factors of 65025 and 65042 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 65042

Prime factors of 65042 are 2, 17, 1913. Prime factorization of 65042 in exponential form is:

65042 = 2¹ × 17¹ × 1913¹

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 65042

List of positive integer factors of 65042 that divides 65025 without a remainder.

1, 2, 17, 34, 1913, 3826, 32521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65025 and 65042. The biggest common factor number is the GCF number.
So the greatest common factor 65025 and 65042 is 17.

Also check out the Least Common Multiple of 65025 and 65042