What is the Greatest Common Factor of 29148 and 29154?

Greatest common factor (GCF) of 29148 and 29154 is 6.

GCF(29148,29154) = 6

We will now calculate the prime factors of 29148 and 29154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29148 and 29154.

How to find the GCF of 29148 and 29154?

We will first find the prime factorization of 29148 and 29154. After we will calculate the factors of 29148 and 29154 and find the biggest common factor number .

Step-1: Prime Factorization of 29148

Prime factors of 29148 are 2, 3, 7, 347. Prime factorization of 29148 in exponential form is:

29148 = 2² × 3¹ × 7¹ × 347¹

Step-2: Prime Factorization of 29154

Prime factors of 29154 are 2, 3, 43, 113. Prime factorization of 29154 in exponential form is:

29154 = 2¹ × 3¹ × 43¹ × 113¹

Step-3: Factors of 29148

List of positive integer factors of 29148 that divides 29148 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 347, 694, 1041, 1388, 2082, 2429, 4164, 4858, 7287, 9716, 14574

Step-4: Factors of 29154

List of positive integer factors of 29154 that divides 29148 without a remainder.

1, 2, 3, 6, 43, 86, 113, 129, 226, 258, 339, 678, 4859, 9718, 14577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29148 and 29154. The biggest common factor number is the GCF number.
So the greatest common factor 29148 and 29154 is 6.

Also check out the Least Common Multiple of 29148 and 29154