What is the Greatest Common Factor of 48160 and 48174?

Greatest common factor (GCF) of 48160 and 48174 is 14.

GCF(48160,48174) = 14

We will now calculate the prime factors of 48160 and 48174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48160 and 48174.

How to find the GCF of 48160 and 48174?

We will first find the prime factorization of 48160 and 48174. After we will calculate the factors of 48160 and 48174 and find the biggest common factor number .

Step-1: Prime Factorization of 48160

Prime factors of 48160 are 2, 5, 7, 43. Prime factorization of 48160 in exponential form is:

48160 = 2⁵ × 5¹ × 7¹ × 43¹

Step-2: Prime Factorization of 48174

Prime factors of 48174 are 2, 3, 7, 31, 37. Prime factorization of 48174 in exponential form is:

48174 = 2¹ × 3¹ × 7¹ × 31¹ × 37¹

Step-3: Factors of 48160

List of positive integer factors of 48160 that divides 48160 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 43, 56, 70, 80, 86, 112, 140, 160, 172, 215, 224, 280, 301, 344, 430, 560, 602, 688, 860, 1120, 1204, 1376, 1505, 1720, 2408, 3010, 3440, 4816, 6020, 6880, 9632, 12040, 24080

Step-4: Factors of 48174

List of positive integer factors of 48174 that divides 48160 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 37, 42, 62, 74, 93, 111, 186, 217, 222, 259, 434, 518, 651, 777, 1147, 1302, 1554, 2294, 3441, 6882, 8029, 16058, 24087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48160 and 48174. The biggest common factor number is the GCF number.
So the greatest common factor 48160 and 48174 is 14.

Also check out the Least Common Multiple of 48160 and 48174