What is the Greatest Common Factor of 53307 and 53311?

Greatest common factor (GCF) of 53307 and 53311 is 1.

GCF(53307,53311) = 1

We will now calculate the prime factors of 53307 and 53311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53307 and 53311.

How to find the GCF of 53307 and 53311?

We will first find the prime factorization of 53307 and 53311. After we will calculate the factors of 53307 and 53311 and find the biggest common factor number .

Step-1: Prime Factorization of 53307

Prime factors of 53307 are 3, 5923. Prime factorization of 53307 in exponential form is:

53307 = 3² × 5923¹

Step-2: Prime Factorization of 53311

Prime factors of 53311 are 89, 599. Prime factorization of 53311 in exponential form is:

53311 = 89¹ × 599¹

Step-3: Factors of 53307

List of positive integer factors of 53307 that divides 53307 without a remainder.

1, 3, 9, 5923, 17769

Step-4: Factors of 53311

List of positive integer factors of 53311 that divides 53307 without a remainder.

1, 89, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53307 and 53311. The biggest common factor number is the GCF number.
So the greatest common factor 53307 and 53311 is 1.

Also check out the Least Common Multiple of 53307 and 53311