What is the Greatest Common Factor of 30160 and 30175?

Greatest common factor (GCF) of 30160 and 30175 is 5.

GCF(30160,30175) = 5

We will now calculate the prime factors of 30160 and 30175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30160 and 30175.

How to find the GCF of 30160 and 30175?

We will first find the prime factorization of 30160 and 30175. After we will calculate the factors of 30160 and 30175 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 30175

Prime factors of 30175 are 5, 17, 71. Prime factorization of 30175 in exponential form is:

30175 = 5² × 17¹ × 71¹

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 30175

List of positive integer factors of 30175 that divides 30160 without a remainder.

1, 5, 17, 25, 71, 85, 355, 425, 1207, 1775, 6035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30160 and 30175. The biggest common factor number is the GCF number.
So the greatest common factor 30160 and 30175 is 5.

Also check out the Least Common Multiple of 30160 and 30175