What is the Greatest Common Factor of 61797 and 61803?

Greatest common factor (GCF) of 61797 and 61803 is 3.

GCF(61797,61803) = 3

We will now calculate the prime factors of 61797 and 61803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61797 and 61803.

How to find the GCF of 61797 and 61803?

We will first find the prime factorization of 61797 and 61803. After we will calculate the factors of 61797 and 61803 and find the biggest common factor number .

Step-1: Prime Factorization of 61797

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

61797 = 3¹ × 20599¹

Step-2: Prime Factorization of 61803

Prime factors of 61803 are 3, 7, 109. Prime factorization of 61803 in exponential form is:

61803 = 3⁴ × 7¹ × 109¹

Step-3: Factors of 61797

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

1, 3, 20599

Step-4: Factors of 61803

List of positive integer factors of 61803 that divides 61797 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 109, 189, 327, 567, 763, 981, 2289, 2943, 6867, 8829, 20601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61797 and 61803. The biggest common factor number is the GCF number.
So the greatest common factor 61797 and 61803 is 3.

Also check out the Least Common Multiple of 61797 and 61803