What is the Greatest Common Factor of 29136 and 29148?

Greatest common factor (GCF) of 29136 and 29148 is 12.

GCF(29136,29148) = 12

We will now calculate the prime factors of 29136 and 29148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29136 and 29148.

How to find the GCF of 29136 and 29148?

We will first find the prime factorization of 29136 and 29148. After we will calculate the factors of 29136 and 29148 and find the biggest common factor number .

Step-1: Prime Factorization of 29136

Prime factors of 29136 are 2, 3, 607. Prime factorization of 29136 in exponential form is:

29136 = 2⁴ × 3¹ × 607¹

Step-2: 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-3: Factors of 29136

List of positive integer factors of 29136 that divides 29136 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 607, 1214, 1821, 2428, 3642, 4856, 7284, 9712, 14568

Step-4: Factors of 29148

List of positive integer factors of 29148 that divides 29136 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29136 and 29148. The biggest common factor number is the GCF number.
So the greatest common factor 29136 and 29148 is 12.

Also check out the Least Common Multiple of 29136 and 29148