What is the Greatest Common Factor of 61803 and 61810?

Greatest common factor (GCF) of 61803 and 61810 is 7.

GCF(61803,61810) = 7

We will now calculate the prime factors of 61803 and 61810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61803 and 61810.

How to find the GCF of 61803 and 61810?

We will first find the prime factorization of 61803 and 61810. After we will calculate the factors of 61803 and 61810 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 61810

Prime factors of 61810 are 2, 5, 7, 883. Prime factorization of 61810 in exponential form is:

61810 = 2¹ × 5¹ × 7¹ × 883¹

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 61810

List of positive integer factors of 61810 that divides 61803 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 883, 1766, 4415, 6181, 8830, 12362, 30905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61803 and 61810. The biggest common factor number is the GCF number.
So the greatest common factor 61803 and 61810 is 7.

Also check out the Least Common Multiple of 61803 and 61810