What is the Greatest Common Factor of 53340 and 53349?

Greatest common factor (GCF) of 53340 and 53349 is 3.

GCF(53340,53349) = 3

We will now calculate the prime factors of 53340 and 53349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53340 and 53349.

How to find the GCF of 53340 and 53349?

We will first find the prime factorization of 53340 and 53349. After we will calculate the factors of 53340 and 53349 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 53349

Prime factors of 53349 are 3, 17783. Prime factorization of 53349 in exponential form is:

53349 = 3¹ × 17783¹

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 53349

List of positive integer factors of 53349 that divides 53340 without a remainder.

1, 3, 17783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53340 and 53349. The biggest common factor number is the GCF number.
So the greatest common factor 53340 and 53349 is 3.

Also check out the Least Common Multiple of 53340 and 53349