What is the Greatest Common Factor of 29124 and 29136?

Greatest common factor (GCF) of 29124 and 29136 is 12.

GCF(29124,29136) = 12

We will now calculate the prime factors of 29124 and 29136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29124 and 29136.

How to find the GCF of 29124 and 29136?

We will first find the prime factorization of 29124 and 29136. After we will calculate the factors of 29124 and 29136 and find the biggest common factor number .

Step-1: Prime Factorization of 29124

Prime factors of 29124 are 2, 3, 809. Prime factorization of 29124 in exponential form is:

29124 = 2² × 3² × 809¹

Step-2: 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-3: Factors of 29124

List of positive integer factors of 29124 that divides 29124 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 809, 1618, 2427, 3236, 4854, 7281, 9708, 14562

Step-4: Factors of 29136

List of positive integer factors of 29136 that divides 29124 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29124 and 29136. The biggest common factor number is the GCF number.
So the greatest common factor 29124 and 29136 is 12.

Also check out the Least Common Multiple of 29124 and 29136