What is the Greatest Common Factor of 29920 and 29930?

Greatest common factor (GCF) of 29920 and 29930 is 10.

GCF(29920,29930) = 10

We will now calculate the prime factors of 29920 and 29930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29920 and 29930.

How to find the GCF of 29920 and 29930?

We will first find the prime factorization of 29920 and 29930. After we will calculate the factors of 29920 and 29930 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 29930

Prime factors of 29930 are 2, 5, 41, 73. Prime factorization of 29930 in exponential form is:

29930 = 2¹ × 5¹ × 41¹ × 73¹

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 29930

List of positive integer factors of 29930 that divides 29920 without a remainder.

1, 2, 5, 10, 41, 73, 82, 146, 205, 365, 410, 730, 2993, 5986, 14965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29920 and 29930. The biggest common factor number is the GCF number.
So the greatest common factor 29920 and 29930 is 10.

Also check out the Least Common Multiple of 29920 and 29930