What is the Greatest Common Factor of 46104 and 46122?

Greatest common factor (GCF) of 46104 and 46122 is 6.

GCF(46104,46122) = 6

We will now calculate the prime factors of 46104 and 46122, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46104 and 46122.

How to find the GCF of 46104 and 46122?

We will first find the prime factorization of 46104 and 46122. After we will calculate the factors of 46104 and 46122 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 46122

Prime factors of 46122 are 2, 3, 7687. Prime factorization of 46122 in exponential form is:

46122 = 2¹ × 3¹ × 7687¹

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 46122

List of positive integer factors of 46122 that divides 46104 without a remainder.

1, 2, 3, 6, 7687, 15374, 23061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46104 and 46122. The biggest common factor number is the GCF number.
So the greatest common factor 46104 and 46122 is 6.

Also check out the Least Common Multiple of 46104 and 46122