What is the Greatest Common Factor of 53340 and 53350?

Greatest common factor (GCF) of 53340 and 53350 is 10.

GCF(53340,53350) = 10

We will now calculate the prime factors of 53340 and 53350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53340 and 53350.

How to find the GCF of 53340 and 53350?

We will first find the prime factorization of 53340 and 53350. After we will calculate the factors of 53340 and 53350 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 53350

Prime factors of 53350 are 2, 5, 11, 97. Prime factorization of 53350 in exponential form is:

53350 = 2¹ × 5² × 11¹ × 97¹

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 53350

List of positive integer factors of 53350 that divides 53340 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 97, 110, 194, 275, 485, 550, 970, 1067, 2134, 2425, 4850, 5335, 10670, 26675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53340 and 53350. The biggest common factor number is the GCF number.
So the greatest common factor 53340 and 53350 is 10.

Also check out the Least Common Multiple of 53340 and 53350