What is the Greatest Common Factor of 53305 and 53321?

Greatest common factor (GCF) of 53305 and 53321 is 1.

GCF(53305,53321) = 1

We will now calculate the prime factors of 53305 and 53321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53305 and 53321.

How to find the GCF of 53305 and 53321?

We will first find the prime factorization of 53305 and 53321. After we will calculate the factors of 53305 and 53321 and find the biggest common factor number .

Step-1: Prime Factorization of 53305

Prime factors of 53305 are 5, 7, 1523. Prime factorization of 53305 in exponential form is:

53305 = 5¹ × 7¹ × 1523¹

Step-2: Prime Factorization of 53321

Prime factors of 53321 are 71, 751. Prime factorization of 53321 in exponential form is:

53321 = 71¹ × 751¹

Step-3: Factors of 53305

List of positive integer factors of 53305 that divides 53305 without a remainder.

1, 5, 7, 35, 1523, 7615, 10661

Step-4: Factors of 53321

List of positive integer factors of 53321 that divides 53305 without a remainder.

1, 71, 751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53305 and 53321. The biggest common factor number is the GCF number.
So the greatest common factor 53305 and 53321 is 1.

Also check out the Least Common Multiple of 53305 and 53321