What is the Greatest Common Factor of 65685 and 65690?

Greatest common factor (GCF) of 65685 and 65690 is 5.

GCF(65685,65690) = 5

We will now calculate the prime factors of 65685 and 65690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65685 and 65690.

How to find the GCF of 65685 and 65690?

We will first find the prime factorization of 65685 and 65690. After we will calculate the factors of 65685 and 65690 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 65690

Prime factors of 65690 are 2, 5, 6569. Prime factorization of 65690 in exponential form is:

65690 = 2¹ × 5¹ × 6569¹

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 65690

List of positive integer factors of 65690 that divides 65685 without a remainder.

1, 2, 5, 10, 6569, 13138, 32845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65685 and 65690. The biggest common factor number is the GCF number.
So the greatest common factor 65685 and 65690 is 5.

Also check out the Least Common Multiple of 65685 and 65690