What is the Greatest Common Factor of 53388 and 53400?

Greatest common factor (GCF) of 53388 and 53400 is 12.

GCF(53388,53400) = 12

We will now calculate the prime factors of 53388 and 53400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53388 and 53400.

How to find the GCF of 53388 and 53400?

We will first find the prime factorization of 53388 and 53400. After we will calculate the factors of 53388 and 53400 and find the biggest common factor number .

Step-1: Prime Factorization of 53388

Prime factors of 53388 are 2, 3, 1483. Prime factorization of 53388 in exponential form is:

53388 = 2² × 3² × 1483¹

Step-2: Prime Factorization of 53400

Prime factors of 53400 are 2, 3, 5, 89. Prime factorization of 53400 in exponential form is:

53400 = 2³ × 3¹ × 5² × 89¹

Step-3: Factors of 53388

List of positive integer factors of 53388 that divides 53388 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1483, 2966, 4449, 5932, 8898, 13347, 17796, 26694

Step-4: Factors of 53400

List of positive integer factors of 53400 that divides 53388 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 89, 100, 120, 150, 178, 200, 267, 300, 356, 445, 534, 600, 712, 890, 1068, 1335, 1780, 2136, 2225, 2670, 3560, 4450, 5340, 6675, 8900, 10680, 13350, 17800, 26700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53388 and 53400. The biggest common factor number is the GCF number.
So the greatest common factor 53388 and 53400 is 12.

Also check out the Least Common Multiple of 53388 and 53400