What is the Greatest Common Factor of 29120 and 29136?

Greatest common factor (GCF) of 29120 and 29136 is 16.

GCF(29120,29136) = 16

We will now calculate the prime factors of 29120 and 29136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29120 and 29136.

How to find the GCF of 29120 and 29136?

We will first find the prime factorization of 29120 and 29136. After we will calculate the factors of 29120 and 29136 and find the biggest common factor number .

Step-1: Prime Factorization of 29120

Prime factors of 29120 are 2, 5, 7, 13. Prime factorization of 29120 in exponential form is:

29120 = 2⁶ × 5¹ × 7¹ × 13¹

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 29120

List of positive integer factors of 29120 that divides 29120 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 32, 35, 40, 52, 56, 64, 65, 70, 80, 91, 104, 112, 130, 140, 160, 182, 208, 224, 260, 280, 320, 364, 416, 448, 455, 520, 560, 728, 832, 910, 1040, 1120, 1456, 1820, 2080, 2240, 2912, 3640, 4160, 5824, 7280, 14560

Step-4: Factors of 29136

List of positive integer factors of 29136 that divides 29120 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 29120 and 29136. The biggest common factor number is the GCF number.
So the greatest common factor 29120 and 29136 is 16.

Also check out the Least Common Multiple of 29120 and 29136