What is the Greatest Common Factor of 61788 and 61800?

Greatest common factor (GCF) of 61788 and 61800 is 12.

GCF(61788,61800) = 12

We will now calculate the prime factors of 61788 and 61800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61788 and 61800.

How to find the GCF of 61788 and 61800?

We will first find the prime factorization of 61788 and 61800. After we will calculate the factors of 61788 and 61800 and find the biggest common factor number .

Step-1: Prime Factorization of 61788

Prime factors of 61788 are 2, 3, 19, 271. Prime factorization of 61788 in exponential form is:

61788 = 2² × 3¹ × 19¹ × 271¹

Step-2: Prime Factorization of 61800

Prime factors of 61800 are 2, 3, 5, 103. Prime factorization of 61800 in exponential form is:

61800 = 2³ × 3¹ × 5² × 103¹

Step-3: Factors of 61788

List of positive integer factors of 61788 that divides 61788 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 271, 542, 813, 1084, 1626, 3252, 5149, 10298, 15447, 20596, 30894

Step-4: Factors of 61800

List of positive integer factors of 61800 that divides 61788 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 103, 120, 150, 200, 206, 300, 309, 412, 515, 600, 618, 824, 1030, 1236, 1545, 2060, 2472, 2575, 3090, 4120, 5150, 6180, 7725, 10300, 12360, 15450, 20600, 30900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61788 and 61800. The biggest common factor number is the GCF number.
So the greatest common factor 61788 and 61800 is 12.

Also check out the Least Common Multiple of 61788 and 61800