What is the Greatest Common Factor of 65745 and 65755?

Greatest common factor (GCF) of 65745 and 65755 is 5.

GCF(65745,65755) = 5

We will now calculate the prime factors of 65745 and 65755, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65745 and 65755.

How to find the GCF of 65745 and 65755?

We will first find the prime factorization of 65745 and 65755. After we will calculate the factors of 65745 and 65755 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 65755

Prime factors of 65755 are 5, 13151. Prime factorization of 65755 in exponential form is:

65755 = 5¹ × 13151¹

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 65755

List of positive integer factors of 65755 that divides 65745 without a remainder.

1, 5, 13151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65745 and 65755. The biggest common factor number is the GCF number.
So the greatest common factor 65745 and 65755 is 5.

Also check out the Least Common Multiple of 65745 and 65755