What is the Greatest Common Factor of 48160 and 48167?

Greatest common factor (GCF) of 48160 and 48167 is 7.

GCF(48160,48167) = 7

We will now calculate the prime factors of 48160 and 48167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48160 and 48167.

How to find the GCF of 48160 and 48167?

We will first find the prime factorization of 48160 and 48167. After we will calculate the factors of 48160 and 48167 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 48167

Prime factors of 48167 are 7, 983. Prime factorization of 48167 in exponential form is:

48167 = 7² × 983¹

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 48167

List of positive integer factors of 48167 that divides 48160 without a remainder.

1, 7, 49, 983, 6881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48160 and 48167. The biggest common factor number is the GCF number.
So the greatest common factor 48160 and 48167 is 7.

Also check out the Least Common Multiple of 48160 and 48167