What is the Greatest Common Factor of 51775 and 51795?

Greatest common factor (GCF) of 51775 and 51795 is 5.

GCF(51775,51795) = 5

We will now calculate the prime factors of 51775 and 51795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51775 and 51795.

How to find the GCF of 51775 and 51795?

We will first find the prime factorization of 51775 and 51795. After we will calculate the factors of 51775 and 51795 and find the biggest common factor number .

Step-1: Prime Factorization of 51775

Prime factors of 51775 are 5, 19, 109. Prime factorization of 51775 in exponential form is:

51775 = 5² × 19¹ × 109¹

Step-2: Prime Factorization of 51795

Prime factors of 51795 are 3, 5, 1151. Prime factorization of 51795 in exponential form is:

51795 = 3² × 5¹ × 1151¹

Step-3: Factors of 51775

List of positive integer factors of 51775 that divides 51775 without a remainder.

1, 5, 19, 25, 95, 109, 475, 545, 2071, 2725, 10355

Step-4: Factors of 51795

List of positive integer factors of 51795 that divides 51775 without a remainder.

1, 3, 5, 9, 15, 45, 1151, 3453, 5755, 10359, 17265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51775 and 51795. The biggest common factor number is the GCF number.
So the greatest common factor 51775 and 51795 is 5.

Also check out the Least Common Multiple of 51775 and 51795