What is the Greatest Common Factor of 30160 and 30176?

Greatest common factor (GCF) of 30160 and 30176 is 16.

GCF(30160,30176) = 16

We will now calculate the prime factors of 30160 and 30176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30160 and 30176.

How to find the GCF of 30160 and 30176?

We will first find the prime factorization of 30160 and 30176. After we will calculate the factors of 30160 and 30176 and find the biggest common factor number .

Step-1: Prime Factorization of 30160

Prime factors of 30160 are 2, 5, 13, 29. Prime factorization of 30160 in exponential form is:

30160 = 2⁴ × 5¹ × 13¹ × 29¹

Step-2: Prime Factorization of 30176

Prime factors of 30176 are 2, 23, 41. Prime factorization of 30176 in exponential form is:

30176 = 2⁵ × 23¹ × 41¹

Step-3: Factors of 30160

List of positive integer factors of 30160 that divides 30160 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 29, 40, 52, 58, 65, 80, 104, 116, 130, 145, 208, 232, 260, 290, 377, 464, 520, 580, 754, 1040, 1160, 1508, 1885, 2320, 3016, 3770, 6032, 7540, 15080

Step-4: Factors of 30176

List of positive integer factors of 30176 that divides 30160 without a remainder.

1, 2, 4, 8, 16, 23, 32, 41, 46, 82, 92, 164, 184, 328, 368, 656, 736, 943, 1312, 1886, 3772, 7544, 15088

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30160 and 30176. The biggest common factor number is the GCF number.
So the greatest common factor 30160 and 30176 is 16.

Also check out the Least Common Multiple of 30160 and 30176