What is the Greatest Common Factor of 29120 and 29130?

Greatest common factor (GCF) of 29120 and 29130 is 10.

GCF(29120,29130) = 10

We will now calculate the prime factors of 29120 and 29130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29120 and 29130.

How to find the GCF of 29120 and 29130?

We will first find the prime factorization of 29120 and 29130. After we will calculate the factors of 29120 and 29130 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 29130

Prime factors of 29130 are 2, 3, 5, 971. Prime factorization of 29130 in exponential form is:

29130 = 2¹ × 3¹ × 5¹ × 971¹

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 29130

List of positive integer factors of 29130 that divides 29120 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 971, 1942, 2913, 4855, 5826, 9710, 14565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29120 and 29130. The biggest common factor number is the GCF number.
So the greatest common factor 29120 and 29130 is 10.

Also check out the Least Common Multiple of 29120 and 29130