What is the Greatest Common Factor of 61803 and 61822?

Greatest common factor (GCF) of 61803 and 61822 is 1.

GCF(61803,61822) = 1

We will now calculate the prime factors of 61803 and 61822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61803 and 61822.

How to find the GCF of 61803 and 61822?

We will first find the prime factorization of 61803 and 61822. After we will calculate the factors of 61803 and 61822 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61822

Prime factors of 61822 are 2, 30911. Prime factorization of 61822 in exponential form is:

61822 = 2¹ × 30911¹

Step-3: Factors of 61803

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

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

Step-4: Factors of 61822

List of positive integer factors of 61822 that divides 61803 without a remainder.

1, 2, 30911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61803 and 61822. The biggest common factor number is the GCF number.
So the greatest common factor 61803 and 61822 is 1.

Also check out the Least Common Multiple of 61803 and 61822