What is the Greatest Common Factor of 44148 and 44154?

Greatest common factor (GCF) of 44148 and 44154 is 6.

GCF(44148,44154) = 6

We will now calculate the prime factors of 44148 and 44154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44148 and 44154.

How to find the GCF of 44148 and 44154?

We will first find the prime factorization of 44148 and 44154. After we will calculate the factors of 44148 and 44154 and find the biggest common factor number .

Step-1: Prime Factorization of 44148

Prime factors of 44148 are 2, 3, 13, 283. Prime factorization of 44148 in exponential form is:

44148 = 2² × 3¹ × 13¹ × 283¹

Step-2: Prime Factorization of 44154

Prime factors of 44154 are 2, 3, 11, 223. Prime factorization of 44154 in exponential form is:

44154 = 2¹ × 3² × 11¹ × 223¹

Step-3: Factors of 44148

List of positive integer factors of 44148 that divides 44148 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 283, 566, 849, 1132, 1698, 3396, 3679, 7358, 11037, 14716, 22074

Step-4: Factors of 44154

List of positive integer factors of 44154 that divides 44148 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 223, 446, 669, 1338, 2007, 2453, 4014, 4906, 7359, 14718, 22077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44148 and 44154. The biggest common factor number is the GCF number.
So the greatest common factor 44148 and 44154 is 6.

Also check out the Least Common Multiple of 44148 and 44154