What is the Greatest Common Factor of 61098 and 61110?

Greatest common factor (GCF) of 61098 and 61110 is 6.

GCF(61098,61110) = 6

We will now calculate the prime factors of 61098 and 61110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61098 and 61110.

How to find the GCF of 61098 and 61110?

We will first find the prime factorization of 61098 and 61110. After we will calculate the factors of 61098 and 61110 and find the biggest common factor number .

Step-1: Prime Factorization of 61098

Prime factors of 61098 are 2, 3, 17, 599. Prime factorization of 61098 in exponential form is:

61098 = 2¹ × 3¹ × 17¹ × 599¹

Step-2: Prime Factorization of 61110

Prime factors of 61110 are 2, 3, 5, 7, 97. Prime factorization of 61110 in exponential form is:

61110 = 2¹ × 3² × 5¹ × 7¹ × 97¹

Step-3: Factors of 61098

List of positive integer factors of 61098 that divides 61098 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 599, 1198, 1797, 3594, 10183, 20366, 30549

Step-4: Factors of 61110

List of positive integer factors of 61110 that divides 61098 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 97, 105, 126, 194, 210, 291, 315, 485, 582, 630, 679, 873, 970, 1358, 1455, 1746, 2037, 2910, 3395, 4074, 4365, 6111, 6790, 8730, 10185, 12222, 20370, 30555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61098 and 61110. The biggest common factor number is the GCF number.
So the greatest common factor 61098 and 61110 is 6.

Also check out the Least Common Multiple of 61098 and 61110