What is the Greatest Common Factor of 61788 and 61806?

Greatest common factor (GCF) of 61788 and 61806 is 6.

GCF(61788,61806) = 6

We will now calculate the prime factors of 61788 and 61806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61788 and 61806.

How to find the GCF of 61788 and 61806?

We will first find the prime factorization of 61788 and 61806. After we will calculate the factors of 61788 and 61806 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 61806

Prime factors of 61806 are 2, 3, 10301. Prime factorization of 61806 in exponential form is:

61806 = 2¹ × 3¹ × 10301¹

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 61806

List of positive integer factors of 61806 that divides 61788 without a remainder.

1, 2, 3, 6, 10301, 20602, 30903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61788 and 61806. The biggest common factor number is the GCF number.
So the greatest common factor 61788 and 61806 is 6.

Also check out the Least Common Multiple of 61788 and 61806