What is the Greatest Common Factor of 2775 and 2795?

Greatest common factor (GCF) of 2775 and 2795 is 5.

GCF(2775,2795) = 5

We will now calculate the prime factors of 2775 and 2795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2775 and 2795.

How to find the GCF of 2775 and 2795?

We will first find the prime factorization of 2775 and 2795. After we will calculate the factors of 2775 and 2795 and find the biggest common factor number .

Step-1: Prime Factorization of 2775

Prime factors of 2775 are 3, 5, 37. Prime factorization of 2775 in exponential form is:

2775 = 3¹ × 5² × 37¹

Step-2: Prime Factorization of 2795

Prime factors of 2795 are 5, 13, 43. Prime factorization of 2795 in exponential form is:

2795 = 5¹ × 13¹ × 43¹

Step-3: Factors of 2775

List of positive integer factors of 2775 that divides 2775 without a remainder.

1, 3, 5, 15, 25, 37, 75, 111, 185, 555, 925

Step-4: Factors of 2795

List of positive integer factors of 2795 that divides 2775 without a remainder.

1, 5, 13, 43, 65, 215, 559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2775 and 2795. The biggest common factor number is the GCF number.
So the greatest common factor 2775 and 2795 is 5.

Also check out the Least Common Multiple of 2775 and 2795