What is the Greatest Common Factor of 29920 and 29936?

Greatest common factor (GCF) of 29920 and 29936 is 16.

GCF(29920,29936) = 16

We will now calculate the prime factors of 29920 and 29936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29920 and 29936.

How to find the GCF of 29920 and 29936?

We will first find the prime factorization of 29920 and 29936. After we will calculate the factors of 29920 and 29936 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29936

Prime factors of 29936 are 2, 1871. Prime factorization of 29936 in exponential form is:

29936 = 2⁴ × 1871¹

Step-3: Factors of 29920

List of positive integer factors of 29920 that divides 29920 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

Step-4: Factors of 29936

List of positive integer factors of 29936 that divides 29920 without a remainder.

1, 2, 4, 8, 16, 1871, 3742, 7484, 14968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29920 and 29936. The biggest common factor number is the GCF number.
So the greatest common factor 29920 and 29936 is 16.

Also check out the Least Common Multiple of 29920 and 29936