What is the Greatest Common Factor of 46092 and 46112?

Greatest common factor (GCF) of 46092 and 46112 is 4.

GCF(46092,46112) = 4

We will now calculate the prime factors of 46092 and 46112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46092 and 46112.

How to find the GCF of 46092 and 46112?

We will first find the prime factorization of 46092 and 46112. After we will calculate the factors of 46092 and 46112 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 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 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 46112

List of positive integer factors of 46112 that divides 46092 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 46092 and 46112. The biggest common factor number is the GCF number.
So the greatest common factor 46092 and 46112 is 4.

Also check out the Least Common Multiple of 46092 and 46112