What is the Greatest Common Factor of 61105 and 61116?

Greatest common factor (GCF) of 61105 and 61116 is 11.

GCF(61105,61116) = 11

We will now calculate the prime factors of 61105 and 61116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61105 and 61116.

How to find the GCF of 61105 and 61116?

We will first find the prime factorization of 61105 and 61116. After we will calculate the factors of 61105 and 61116 and find the biggest common factor number .

Step-1: Prime Factorization of 61105

Prime factors of 61105 are 5, 11, 101. Prime factorization of 61105 in exponential form is:

61105 = 5¹ × 11² × 101¹

Step-2: Prime Factorization of 61116

Prime factors of 61116 are 2, 3, 11, 463. Prime factorization of 61116 in exponential form is:

61116 = 2² × 3¹ × 11¹ × 463¹

Step-3: Factors of 61105

List of positive integer factors of 61105 that divides 61105 without a remainder.

1, 5, 11, 55, 101, 121, 505, 605, 1111, 5555, 12221

Step-4: Factors of 61116

List of positive integer factors of 61116 that divides 61105 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 463, 926, 1389, 1852, 2778, 5093, 5556, 10186, 15279, 20372, 30558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61105 and 61116. The biggest common factor number is the GCF number.
So the greatest common factor 61105 and 61116 is 11.

Also check out the Least Common Multiple of 61105 and 61116