What is the Greatest Common Factor of 52765 and 52775?

Greatest common factor (GCF) of 52765 and 52775 is 5.

GCF(52765,52775) = 5

We will now calculate the prime factors of 52765 and 52775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52765 and 52775.

How to find the GCF of 52765 and 52775?

We will first find the prime factorization of 52765 and 52775. After we will calculate the factors of 52765 and 52775 and find the biggest common factor number .

Step-1: Prime Factorization of 52765

Prime factors of 52765 are 5, 61, 173. Prime factorization of 52765 in exponential form is:

52765 = 5¹ × 61¹ × 173¹

Step-2: Prime Factorization of 52775

Prime factors of 52775 are 5, 2111. Prime factorization of 52775 in exponential form is:

52775 = 5² × 2111¹

Step-3: Factors of 52765

List of positive integer factors of 52765 that divides 52765 without a remainder.

1, 5, 61, 173, 305, 865, 10553

Step-4: Factors of 52775

List of positive integer factors of 52775 that divides 52765 without a remainder.

1, 5, 25, 2111, 10555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52765 and 52775. The biggest common factor number is the GCF number.
So the greatest common factor 52765 and 52775 is 5.

Also check out the Least Common Multiple of 52765 and 52775