What is the Greatest Common Factor of 61101 and 61116?

Greatest common factor (GCF) of 61101 and 61116 is 3.

GCF(61101,61116) = 3

We will now calculate the prime factors of 61101 and 61116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61101 and 61116.

How to find the GCF of 61101 and 61116?

We will first find the prime factorization of 61101 and 61116. After we will calculate the factors of 61101 and 61116 and find the biggest common factor number .

Step-1: Prime Factorization of 61101

Prime factors of 61101 are 3, 31, 73. Prime factorization of 61101 in exponential form is:

61101 = 3³ × 31¹ × 73¹

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 61101

List of positive integer factors of 61101 that divides 61101 without a remainder.

1, 3, 9, 27, 31, 73, 93, 219, 279, 657, 837, 1971, 2263, 6789, 20367

Step-4: Factors of 61116

List of positive integer factors of 61116 that divides 61101 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 61101 and 61116. The biggest common factor number is the GCF number.
So the greatest common factor 61101 and 61116 is 3.

Also check out the Least Common Multiple of 61101 and 61116