What is the Greatest Common Factor of 61788 and 61797?

Greatest common factor (GCF) of 61788 and 61797 is 3.

GCF(61788,61797) = 3

We will now calculate the prime factors of 61788 and 61797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61788 and 61797.

How to find the GCF of 61788 and 61797?

We will first find the prime factorization of 61788 and 61797. After we will calculate the factors of 61788 and 61797 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 61797

Prime factors of 61797 are 3, 20599. Prime factorization of 61797 in exponential form is:

61797 = 3¹ × 20599¹

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 61797

List of positive integer factors of 61797 that divides 61788 without a remainder.

1, 3, 20599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61788 and 61797. The biggest common factor number is the GCF number.
So the greatest common factor 61788 and 61797 is 3.

Also check out the Least Common Multiple of 61788 and 61797