What is the Greatest Common Factor of 35775 and 35795?

Greatest common factor (GCF) of 35775 and 35795 is 5.

GCF(35775,35795) = 5

We will now calculate the prime factors of 35775 and 35795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35775 and 35795.

How to find the GCF of 35775 and 35795?

We will first find the prime factorization of 35775 and 35795. After we will calculate the factors of 35775 and 35795 and find the biggest common factor number .

Step-1: Prime Factorization of 35775

Prime factors of 35775 are 3, 5, 53. Prime factorization of 35775 in exponential form is:

35775 = 3³ × 5² × 53¹

Step-2: Prime Factorization of 35795

Prime factors of 35795 are 5, 7159. Prime factorization of 35795 in exponential form is:

35795 = 5¹ × 7159¹

Step-3: Factors of 35775

List of positive integer factors of 35775 that divides 35775 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 53, 75, 135, 159, 225, 265, 477, 675, 795, 1325, 1431, 2385, 3975, 7155, 11925

Step-4: Factors of 35795

List of positive integer factors of 35795 that divides 35775 without a remainder.

1, 5, 7159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35775 and 35795. The biggest common factor number is the GCF number.
So the greatest common factor 35775 and 35795 is 5.

Also check out the Least Common Multiple of 35775 and 35795