What is the Greatest Common Factor of 53361 and 53378?

Greatest common factor (GCF) of 53361 and 53378 is 1.

GCF(53361,53378) = 1

We will now calculate the prime factors of 53361 and 53378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53361 and 53378.

How to find the GCF of 53361 and 53378?

We will first find the prime factorization of 53361 and 53378. After we will calculate the factors of 53361 and 53378 and find the biggest common factor number .

Step-1: Prime Factorization of 53361

Prime factors of 53361 are 3, 7, 11. Prime factorization of 53361 in exponential form is:

53361 = 3² × 7² × 11²

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 53361

List of positive integer factors of 53361 that divides 53361 without a remainder.

1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 121, 147, 231, 363, 441, 539, 693, 847, 1089, 1617, 2541, 4851, 5929, 7623, 17787

Step-4: Factors of 53378

List of positive integer factors of 53378 that divides 53361 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53361 and 53378. The biggest common factor number is the GCF number.
So the greatest common factor 53361 and 53378 is 1.

Also check out the Least Common Multiple of 53361 and 53378