What is the Greatest Common Factor of 48148 and 48160?

Greatest common factor (GCF) of 48148 and 48160 is 4.

GCF(48148,48160) = 4

We will now calculate the prime factors of 48148 and 48160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48148 and 48160.

How to find the GCF of 48148 and 48160?

We will first find the prime factorization of 48148 and 48160. After we will calculate the factors of 48148 and 48160 and find the biggest common factor number .

Step-1: Prime Factorization of 48148

Prime factors of 48148 are 2, 12037. Prime factorization of 48148 in exponential form is:

48148 = 2² × 12037¹

Step-2: 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-3: Factors of 48148

List of positive integer factors of 48148 that divides 48148 without a remainder.

1, 2, 4, 12037, 24074

Step-4: Factors of 48160

List of positive integer factors of 48160 that divides 48148 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48148 and 48160. The biggest common factor number is the GCF number.
So the greatest common factor 48148 and 48160 is 4.

Also check out the Least Common Multiple of 48148 and 48160