What is the Greatest Common Factor of 53255 and 53275?

Greatest common factor (GCF) of 53255 and 53275 is 5.

GCF(53255,53275) = 5

We will now calculate the prime factors of 53255 and 53275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53255 and 53275.

How to find the GCF of 53255 and 53275?

We will first find the prime factorization of 53255 and 53275. After we will calculate the factors of 53255 and 53275 and find the biggest common factor number .

Step-1: Prime Factorization of 53255

Prime factors of 53255 are 5, 10651. Prime factorization of 53255 in exponential form is:

53255 = 5¹ × 10651¹

Step-2: Prime Factorization of 53275

Prime factors of 53275 are 5, 2131. Prime factorization of 53275 in exponential form is:

53275 = 5² × 2131¹

Step-3: Factors of 53255

List of positive integer factors of 53255 that divides 53255 without a remainder.

1, 5, 10651

Step-4: Factors of 53275

List of positive integer factors of 53275 that divides 53255 without a remainder.

1, 5, 25, 2131, 10655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53255 and 53275. The biggest common factor number is the GCF number.
So the greatest common factor 53255 and 53275 is 5.

Also check out the Least Common Multiple of 53255 and 53275