What is the Greatest Common Factor of 29916 and 29920?

Greatest common factor (GCF) of 29916 and 29920 is 4.

GCF(29916,29920) = 4

We will now calculate the prime factors of 29916 and 29920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29916 and 29920.

How to find the GCF of 29916 and 29920?

We will first find the prime factorization of 29916 and 29920. After we will calculate the factors of 29916 and 29920 and find the biggest common factor number .

Step-1: Prime Factorization of 29916

Prime factors of 29916 are 2, 3, 277. Prime factorization of 29916 in exponential form is:

29916 = 2² × 3³ × 277¹

Step-2: Prime Factorization of 29920

Prime factors of 29920 are 2, 5, 11, 17. Prime factorization of 29920 in exponential form is:

29920 = 2⁵ × 5¹ × 11¹ × 17¹

Step-3: Factors of 29916

List of positive integer factors of 29916 that divides 29916 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 7479, 9972, 14958

Step-4: Factors of 29920

List of positive integer factors of 29920 that divides 29916 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 17, 20, 22, 32, 34, 40, 44, 55, 68, 80, 85, 88, 110, 136, 160, 170, 176, 187, 220, 272, 340, 352, 374, 440, 544, 680, 748, 880, 935, 1360, 1496, 1760, 1870, 2720, 2992, 3740, 5984, 7480, 14960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29916 and 29920. The biggest common factor number is the GCF number.
So the greatest common factor 29916 and 29920 is 4.

Also check out the Least Common Multiple of 29916 and 29920