What is the Greatest Common Factor of 53688 and 53700?

Greatest common factor (GCF) of 53688 and 53700 is 12.

GCF(53688,53700) = 12

We will now calculate the prime factors of 53688 and 53700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53688 and 53700.

How to find the GCF of 53688 and 53700?

We will first find the prime factorization of 53688 and 53700. After we will calculate the factors of 53688 and 53700 and find the biggest common factor number .

Step-1: Prime Factorization of 53688

Prime factors of 53688 are 2, 3, 2237. Prime factorization of 53688 in exponential form is:

53688 = 2³ × 3¹ × 2237¹

Step-2: Prime Factorization of 53700

Prime factors of 53700 are 2, 3, 5, 179. Prime factorization of 53700 in exponential form is:

53700 = 2² × 3¹ × 5² × 179¹

Step-3: Factors of 53688

List of positive integer factors of 53688 that divides 53688 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2237, 4474, 6711, 8948, 13422, 17896, 26844

Step-4: Factors of 53700

List of positive integer factors of 53700 that divides 53688 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 179, 300, 358, 537, 716, 895, 1074, 1790, 2148, 2685, 3580, 4475, 5370, 8950, 10740, 13425, 17900, 26850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53688 and 53700. The biggest common factor number is the GCF number.
So the greatest common factor 53688 and 53700 is 12.

Also check out the Least Common Multiple of 53688 and 53700