What is the Greatest Common Factor of 2765 and 2785?

Greatest common factor (GCF) of 2765 and 2785 is 5.

GCF(2765,2785) = 5

We will now calculate the prime factors of 2765 and 2785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2765 and 2785.

How to find the GCF of 2765 and 2785?

We will first find the prime factorization of 2765 and 2785. After we will calculate the factors of 2765 and 2785 and find the biggest common factor number .

Step-1: Prime Factorization of 2765

Prime factors of 2765 are 5, 7, 79. Prime factorization of 2765 in exponential form is:

2765 = 5¹ × 7¹ × 79¹

Step-2: Prime Factorization of 2785

Prime factors of 2785 are 5, 557. Prime factorization of 2785 in exponential form is:

2785 = 5¹ × 557¹

Step-3: Factors of 2765

List of positive integer factors of 2765 that divides 2765 without a remainder.

1, 5, 7, 35, 79, 395, 553

Step-4: Factors of 2785

List of positive integer factors of 2785 that divides 2765 without a remainder.

1, 5, 557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2765 and 2785. The biggest common factor number is the GCF number.
So the greatest common factor 2765 and 2785 is 5.

Also check out the Least Common Multiple of 2765 and 2785