What is the Greatest Common Factor of 61104 and 61116?

Greatest common factor (GCF) of 61104 and 61116 is 12.

GCF(61104,61116) = 12

We will now calculate the prime factors of 61104 and 61116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61104 and 61116.

How to find the GCF of 61104 and 61116?

We will first find the prime factorization of 61104 and 61116. After we will calculate the factors of 61104 and 61116 and find the biggest common factor number .

Step-1: Prime Factorization of 61104

Prime factors of 61104 are 2, 3, 19, 67. Prime factorization of 61104 in exponential form is:

61104 = 2⁴ × 3¹ × 19¹ × 67¹

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 61104

List of positive integer factors of 61104 that divides 61104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 67, 76, 114, 134, 152, 201, 228, 268, 304, 402, 456, 536, 804, 912, 1072, 1273, 1608, 2546, 3216, 3819, 5092, 7638, 10184, 15276, 20368, 30552

Step-4: Factors of 61116

List of positive integer factors of 61116 that divides 61104 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 61104 and 61116. The biggest common factor number is the GCF number.
So the greatest common factor 61104 and 61116 is 12.

Also check out the Least Common Multiple of 61104 and 61116