What is the Greatest Common Factor of 46104 and 46112?

Greatest common factor (GCF) of 46104 and 46112 is 8.

GCF(46104,46112) = 8

We will now calculate the prime factors of 46104 and 46112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46104 and 46112.

How to find the GCF of 46104 and 46112?

We will first find the prime factorization of 46104 and 46112. After we will calculate the factors of 46104 and 46112 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 46112

Prime factors of 46112 are 2, 11, 131. Prime factorization of 46112 in exponential form is:

46112 = 2⁵ × 11¹ × 131¹

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 46112

List of positive integer factors of 46112 that divides 46104 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 131, 176, 262, 352, 524, 1048, 1441, 2096, 2882, 4192, 5764, 11528, 23056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46104 and 46112. The biggest common factor number is the GCF number.
So the greatest common factor 46104 and 46112 is 8.

Also check out the Least Common Multiple of 46104 and 46112