What is the Greatest Common Factor of 53340 and 53359?

Greatest common factor (GCF) of 53340 and 53359 is 1.

GCF(53340,53359) = 1

We will now calculate the prime factors of 53340 and 53359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53340 and 53359.

How to find the GCF of 53340 and 53359?

We will first find the prime factorization of 53340 and 53359. After we will calculate the factors of 53340 and 53359 and find the biggest common factor number .

Step-1: Prime Factorization of 53340

Prime factors of 53340 are 2, 3, 5, 7, 127. Prime factorization of 53340 in exponential form is:

53340 = 2² × 3¹ × 5¹ × 7¹ × 127¹

Step-2: Prime Factorization of 53359

Prime factors of 53359 are 53359. Prime factorization of 53359 in exponential form is:

53359 = 53359¹

Step-3: Factors of 53340

List of positive integer factors of 53340 that divides 53340 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 127, 140, 210, 254, 381, 420, 508, 635, 762, 889, 1270, 1524, 1778, 1905, 2540, 2667, 3556, 3810, 4445, 5334, 7620, 8890, 10668, 13335, 17780, 26670

Step-4: Factors of 53359

List of positive integer factors of 53359 that divides 53340 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53340 and 53359. The biggest common factor number is the GCF number.
So the greatest common factor 53340 and 53359 is 1.

Also check out the Least Common Multiple of 53340 and 53359