What is the Greatest Common Factor of 46104 and 46116?

Greatest common factor (GCF) of 46104 and 46116 is 12.

GCF(46104,46116) = 12

We will now calculate the prime factors of 46104 and 46116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46104 and 46116.

How to find the GCF of 46104 and 46116?

We will first find the prime factorization of 46104 and 46116. After we will calculate the factors of 46104 and 46116 and find the biggest common factor number .

Step-1: Prime Factorization of 46104

Prime factors of 46104 are 2, 3, 17, 113. Prime factorization of 46104 in exponential form is:

46104 = 2³ × 3¹ × 17¹ × 113¹

Step-2: Prime Factorization of 46116

Prime factors of 46116 are 2, 3, 7, 61. Prime factorization of 46116 in exponential form is:

46116 = 2² × 3³ × 7¹ × 61¹

Step-3: Factors of 46104

List of positive integer factors of 46104 that divides 46104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 113, 136, 204, 226, 339, 408, 452, 678, 904, 1356, 1921, 2712, 3842, 5763, 7684, 11526, 15368, 23052

Step-4: Factors of 46116

List of positive integer factors of 46116 that divides 46104 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 61, 63, 84, 108, 122, 126, 183, 189, 244, 252, 366, 378, 427, 549, 732, 756, 854, 1098, 1281, 1647, 1708, 2196, 2562, 3294, 3843, 5124, 6588, 7686, 11529, 15372, 23058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46104 and 46116. The biggest common factor number is the GCF number.
So the greatest common factor 46104 and 46116 is 12.

Also check out the Least Common Multiple of 46104 and 46116