What is the Greatest Common Factor of 65725 and 65744?

Greatest common factor (GCF) of 65725 and 65744 is 1.

GCF(65725,65744) = 1

We will now calculate the prime factors of 65725 and 65744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65725 and 65744.

How to find the GCF of 65725 and 65744?

We will first find the prime factorization of 65725 and 65744. After we will calculate the factors of 65725 and 65744 and find the biggest common factor number .

Step-1: Prime Factorization of 65725

Prime factors of 65725 are 5, 11, 239. Prime factorization of 65725 in exponential form is:

65725 = 5² × 11¹ × 239¹

Step-2: Prime Factorization of 65744

Prime factors of 65744 are 2, 7, 587. Prime factorization of 65744 in exponential form is:

65744 = 2⁴ × 7¹ × 587¹

Step-3: Factors of 65725

List of positive integer factors of 65725 that divides 65725 without a remainder.

1, 5, 11, 25, 55, 239, 275, 1195, 2629, 5975, 13145

Step-4: Factors of 65744

List of positive integer factors of 65744 that divides 65725 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 587, 1174, 2348, 4109, 4696, 8218, 9392, 16436, 32872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65725 and 65744. The biggest common factor number is the GCF number.
So the greatest common factor 65725 and 65744 is 1.

Also check out the Least Common Multiple of 65725 and 65744