What is the Greatest Common Factor of 53340 and 53354?

Greatest common factor (GCF) of 53340 and 53354 is 14.

GCF(53340,53354) = 14

We will now calculate the prime factors of 53340 and 53354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53340 and 53354.

How to find the GCF of 53340 and 53354?

We will first find the prime factorization of 53340 and 53354. After we will calculate the factors of 53340 and 53354 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 53354

Prime factors of 53354 are 2, 7, 37, 103. Prime factorization of 53354 in exponential form is:

53354 = 2¹ × 7¹ × 37¹ × 103¹

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 53354

List of positive integer factors of 53354 that divides 53340 without a remainder.

1, 2, 7, 14, 37, 74, 103, 206, 259, 518, 721, 1442, 3811, 7622, 26677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53340 and 53354. The biggest common factor number is the GCF number.
So the greatest common factor 53340 and 53354 is 14.

Also check out the Least Common Multiple of 53340 and 53354