What is the Greatest Common Factor of 53340 and 53358?

Greatest common factor (GCF) of 53340 and 53358 is 6.

GCF(53340,53358) = 6

We will now calculate the prime factors of 53340 and 53358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53340 and 53358.

How to find the GCF of 53340 and 53358?

We will first find the prime factorization of 53340 and 53358. After we will calculate the factors of 53340 and 53358 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 53358

Prime factors of 53358 are 2, 3, 8893. Prime factorization of 53358 in exponential form is:

53358 = 2¹ × 3¹ × 8893¹

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 53358

List of positive integer factors of 53358 that divides 53340 without a remainder.

1, 2, 3, 6, 8893, 17786, 26679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53340 and 53358. The biggest common factor number is the GCF number.
So the greatest common factor 53340 and 53358 is 6.

Also check out the Least Common Multiple of 53340 and 53358