What is the Greatest Common Factor of 29920 and 29931?

Greatest common factor (GCF) of 29920 and 29931 is 11.

GCF(29920,29931) = 11

We will now calculate the prime factors of 29920 and 29931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29920 and 29931.

How to find the GCF of 29920 and 29931?

We will first find the prime factorization of 29920 and 29931. After we will calculate the factors of 29920 and 29931 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 29931

Prime factors of 29931 are 3, 11, 907. Prime factorization of 29931 in exponential form is:

29931 = 3¹ × 11¹ × 907¹

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 29931

List of positive integer factors of 29931 that divides 29920 without a remainder.

1, 3, 11, 33, 907, 2721, 9977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29920 and 29931. The biggest common factor number is the GCF number.
So the greatest common factor 29920 and 29931 is 11.

Also check out the Least Common Multiple of 29920 and 29931