What is the Greatest Common Factor of 53365 and 53377?

Greatest common factor (GCF) of 53365 and 53377 is 1.

GCF(53365,53377) = 1

We will now calculate the prime factors of 53365 and 53377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53365 and 53377.

How to find the GCF of 53365 and 53377?

We will first find the prime factorization of 53365 and 53377. After we will calculate the factors of 53365 and 53377 and find the biggest common factor number .

Step-1: Prime Factorization of 53365

Prime factors of 53365 are 5, 13, 821. Prime factorization of 53365 in exponential form is:

53365 = 5¹ × 13¹ × 821¹

Step-2: Prime Factorization of 53377

Prime factors of 53377 are 53377. Prime factorization of 53377 in exponential form is:

53377 = 53377¹

Step-3: Factors of 53365

List of positive integer factors of 53365 that divides 53365 without a remainder.

1, 5, 13, 65, 821, 4105, 10673

Step-4: Factors of 53377

List of positive integer factors of 53377 that divides 53365 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53365 and 53377. The biggest common factor number is the GCF number.
So the greatest common factor 53365 and 53377 is 1.

Also check out the Least Common Multiple of 53365 and 53377