What is the Greatest Common Factor of 65745 and 65759?

Greatest common factor (GCF) of 65745 and 65759 is 1.

GCF(65745,65759) = 1

We will now calculate the prime factors of 65745 and 65759, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65745 and 65759.

How to find the GCF of 65745 and 65759?

We will first find the prime factorization of 65745 and 65759. After we will calculate the factors of 65745 and 65759 and find the biggest common factor number .

Step-1: Prime Factorization of 65745

Prime factors of 65745 are 3, 5, 487. Prime factorization of 65745 in exponential form is:

65745 = 3³ × 5¹ × 487¹

Step-2: Prime Factorization of 65759

Prime factors of 65759 are 19, 3461. Prime factorization of 65759 in exponential form is:

65759 = 19¹ × 3461¹

Step-3: Factors of 65745

List of positive integer factors of 65745 that divides 65745 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 487, 1461, 2435, 4383, 7305, 13149, 21915

Step-4: Factors of 65759

List of positive integer factors of 65759 that divides 65745 without a remainder.

1, 19, 3461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65745 and 65759. The biggest common factor number is the GCF number.
So the greatest common factor 65745 and 65759 is 1.

Also check out the Least Common Multiple of 65745 and 65759