What is the Greatest Common Factor of 65685 and 65703?

Greatest common factor (GCF) of 65685 and 65703 is 3.

GCF(65685,65703) = 3

We will now calculate the prime factors of 65685 and 65703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65685 and 65703.

How to find the GCF of 65685 and 65703?

We will first find the prime factorization of 65685 and 65703. After we will calculate the factors of 65685 and 65703 and find the biggest common factor number .

Step-1: Prime Factorization of 65685

Prime factors of 65685 are 3, 5, 29, 151. Prime factorization of 65685 in exponential form is:

65685 = 3¹ × 5¹ × 29¹ × 151¹

Step-2: Prime Factorization of 65703

Prime factors of 65703 are 3, 11, 181. Prime factorization of 65703 in exponential form is:

65703 = 3¹ × 11² × 181¹

Step-3: Factors of 65685

List of positive integer factors of 65685 that divides 65685 without a remainder.

1, 3, 5, 15, 29, 87, 145, 151, 435, 453, 755, 2265, 4379, 13137, 21895

Step-4: Factors of 65703

List of positive integer factors of 65703 that divides 65685 without a remainder.

1, 3, 11, 33, 121, 181, 363, 543, 1991, 5973, 21901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65685 and 65703. The biggest common factor number is the GCF number.
So the greatest common factor 65685 and 65703 is 3.

Also check out the Least Common Multiple of 65685 and 65703