What is the Greatest Common Factor of 29909 and 29920?

Greatest common factor (GCF) of 29909 and 29920 is 11.

GCF(29909,29920) = 11

We will now calculate the prime factors of 29909 and 29920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29909 and 29920.

How to find the GCF of 29909 and 29920?

We will first find the prime factorization of 29909 and 29920. After we will calculate the factors of 29909 and 29920 and find the biggest common factor number .

Step-1: Prime Factorization of 29909

Prime factors of 29909 are 11, 2719. Prime factorization of 29909 in exponential form is:

29909 = 11¹ × 2719¹

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 29909

List of positive integer factors of 29909 that divides 29909 without a remainder.

1, 11, 2719

Step-4: Factors of 29920

List of positive integer factors of 29920 that divides 29909 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 29909 and 29920. The biggest common factor number is the GCF number.
So the greatest common factor 29909 and 29920 is 11.

Also check out the Least Common Multiple of 29909 and 29920