What is the Greatest Common Factor of 46092 and 46104?

Greatest common factor (GCF) of 46092 and 46104 is 12.

GCF(46092,46104) = 12

We will now calculate the prime factors of 46092 and 46104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46092 and 46104.

How to find the GCF of 46092 and 46104?

We will first find the prime factorization of 46092 and 46104. After we will calculate the factors of 46092 and 46104 and find the biggest common factor number .

Step-1: Prime Factorization of 46092

Prime factors of 46092 are 2, 3, 23, 167. Prime factorization of 46092 in exponential form is:

46092 = 2² × 3¹ × 23¹ × 167¹

Step-2: 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-3: Factors of 46092

List of positive integer factors of 46092 that divides 46092 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 167, 276, 334, 501, 668, 1002, 2004, 3841, 7682, 11523, 15364, 23046

Step-4: Factors of 46104

List of positive integer factors of 46104 that divides 46092 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46092 and 46104. The biggest common factor number is the GCF number.
So the greatest common factor 46092 and 46104 is 12.

Also check out the Least Common Multiple of 46092 and 46104