What is the Greatest Common Factor of 53700 and 53718?

Greatest common factor (GCF) of 53700 and 53718 is 6.

GCF(53700,53718) = 6

We will now calculate the prime factors of 53700 and 53718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53700 and 53718.

How to find the GCF of 53700 and 53718?

We will first find the prime factorization of 53700 and 53718. After we will calculate the factors of 53700 and 53718 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53718

Prime factors of 53718 are 2, 3, 7, 1279. Prime factorization of 53718 in exponential form is:

53718 = 2¹ × 3¹ × 7¹ × 1279¹

Step-3: Factors of 53700

List of positive integer factors of 53700 that divides 53700 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

Step-4: Factors of 53718

List of positive integer factors of 53718 that divides 53700 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1279, 2558, 3837, 7674, 8953, 17906, 26859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53700 and 53718. The biggest common factor number is the GCF number.
So the greatest common factor 53700 and 53718 is 6.

Also check out the Least Common Multiple of 53700 and 53718