What is the Greatest Common Factor of 30160 and 30169?

Greatest common factor (GCF) of 30160 and 30169 is 1.

GCF(30160,30169) = 1

We will now calculate the prime factors of 30160 and 30169, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30160 and 30169.

How to find the GCF of 30160 and 30169?

We will first find the prime factorization of 30160 and 30169. After we will calculate the factors of 30160 and 30169 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 30169

Prime factors of 30169 are 30169. Prime factorization of 30169 in exponential form is:

30169 = 30169¹

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 30169

List of positive integer factors of 30169 that divides 30160 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30160 and 30169. The biggest common factor number is the GCF number.
So the greatest common factor 30160 and 30169 is 1.

Also check out the Least Common Multiple of 30160 and 30169