What is the Greatest Common Factor of 57775 and 57795?

Greatest common factor (GCF) of 57775 and 57795 is 5.

GCF(57775,57795) = 5

We will now calculate the prime factors of 57775 and 57795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57775 and 57795.

How to find the GCF of 57775 and 57795?

We will first find the prime factorization of 57775 and 57795. After we will calculate the factors of 57775 and 57795 and find the biggest common factor number .

Step-1: Prime Factorization of 57775

Prime factors of 57775 are 5, 2311. Prime factorization of 57775 in exponential form is:

57775 = 5² × 2311¹

Step-2: Prime Factorization of 57795

Prime factors of 57795 are 3, 5, 3853. Prime factorization of 57795 in exponential form is:

57795 = 3¹ × 5¹ × 3853¹

Step-3: Factors of 57775

List of positive integer factors of 57775 that divides 57775 without a remainder.

1, 5, 25, 2311, 11555

Step-4: Factors of 57795

List of positive integer factors of 57795 that divides 57775 without a remainder.

1, 3, 5, 15, 3853, 11559, 19265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57775 and 57795. The biggest common factor number is the GCF number.
So the greatest common factor 57775 and 57795 is 5.

Also check out the Least Common Multiple of 57775 and 57795