What is the Greatest Common Factor of 30160 and 30173?

Greatest common factor (GCF) of 30160 and 30173 is 13.

GCF(30160,30173) = 13

We will now calculate the prime factors of 30160 and 30173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30160 and 30173.

How to find the GCF of 30160 and 30173?

We will first find the prime factorization of 30160 and 30173. After we will calculate the factors of 30160 and 30173 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 30173

Prime factors of 30173 are 11, 13, 211. Prime factorization of 30173 in exponential form is:

30173 = 11¹ × 13¹ × 211¹

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 30173

List of positive integer factors of 30173 that divides 30160 without a remainder.

1, 11, 13, 143, 211, 2321, 2743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30160 and 30173. The biggest common factor number is the GCF number.
So the greatest common factor 30160 and 30173 is 13.

Also check out the Least Common Multiple of 30160 and 30173