What is the Greatest Common Factor of 52665 and 52685?

Greatest common factor (GCF) of 52665 and 52685 is 5.

GCF(52665,52685) = 5

We will now calculate the prime factors of 52665 and 52685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52665 and 52685.

How to find the GCF of 52665 and 52685?

We will first find the prime factorization of 52665 and 52685. After we will calculate the factors of 52665 and 52685 and find the biggest common factor number .

Step-1: Prime Factorization of 52665

Prime factors of 52665 are 3, 5, 3511. Prime factorization of 52665 in exponential form is:

52665 = 3¹ × 5¹ × 3511¹

Step-2: Prime Factorization of 52685

Prime factors of 52685 are 5, 41, 257. Prime factorization of 52685 in exponential form is:

52685 = 5¹ × 41¹ × 257¹

Step-3: Factors of 52665

List of positive integer factors of 52665 that divides 52665 without a remainder.

1, 3, 5, 15, 3511, 10533, 17555

Step-4: Factors of 52685

List of positive integer factors of 52685 that divides 52665 without a remainder.

1, 5, 41, 205, 257, 1285, 10537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52665 and 52685. The biggest common factor number is the GCF number.
So the greatest common factor 52665 and 52685 is 5.

Also check out the Least Common Multiple of 52665 and 52685