What is the Greatest Common Factor of 53365 and 53378?

Greatest common factor (GCF) of 53365 and 53378 is 13.

GCF(53365,53378) = 13

We will now calculate the prime factors of 53365 and 53378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53365 and 53378.

How to find the GCF of 53365 and 53378?

We will first find the prime factorization of 53365 and 53378. After we will calculate the factors of 53365 and 53378 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 53378

Prime factors of 53378 are 2, 13, 2053. Prime factorization of 53378 in exponential form is:

53378 = 2¹ × 13¹ × 2053¹

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 53378

List of positive integer factors of 53378 that divides 53365 without a remainder.

1, 2, 13, 26, 2053, 4106, 26689

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53365 and 53378. The biggest common factor number is the GCF number.
So the greatest common factor 53365 and 53378 is 13.

Also check out the Least Common Multiple of 53365 and 53378