What is the Greatest Common Factor of 2685 and 2705?

Greatest common factor (GCF) of 2685 and 2705 is 5.

GCF(2685,2705) = 5

We will now calculate the prime factors of 2685 and 2705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2685 and 2705.

How to find the GCF of 2685 and 2705?

We will first find the prime factorization of 2685 and 2705. After we will calculate the factors of 2685 and 2705 and find the biggest common factor number .

Step-1: Prime Factorization of 2685

Prime factors of 2685 are 3, 5, 179. Prime factorization of 2685 in exponential form is:

2685 = 3¹ × 5¹ × 179¹

Step-2: Prime Factorization of 2705

Prime factors of 2705 are 5, 541. Prime factorization of 2705 in exponential form is:

2705 = 5¹ × 541¹

Step-3: Factors of 2685

List of positive integer factors of 2685 that divides 2685 without a remainder.

1, 3, 5, 15, 179, 537, 895

Step-4: Factors of 2705

List of positive integer factors of 2705 that divides 2685 without a remainder.

1, 5, 541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2685 and 2705. The biggest common factor number is the GCF number.
So the greatest common factor 2685 and 2705 is 5.

Also check out the Least Common Multiple of 2685 and 2705