What is the Greatest Common Factor of 48077 and 48081?

Greatest common factor (GCF) of 48077 and 48081 is 1.

GCF(48077,48081) = 1

We will now calculate the prime factors of 48077 and 48081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48077 and 48081.

How to find the GCF of 48077 and 48081?

We will first find the prime factorization of 48077 and 48081. After we will calculate the factors of 48077 and 48081 and find the biggest common factor number .

Step-1: Prime Factorization of 48077

Prime factors of 48077 are 131, 367. Prime factorization of 48077 in exponential form is:

48077 = 131¹ × 367¹

Step-2: Prime Factorization of 48081

Prime factors of 48081 are 3, 11, 31, 47. Prime factorization of 48081 in exponential form is:

48081 = 3¹ × 11¹ × 31¹ × 47¹

Step-3: Factors of 48077

List of positive integer factors of 48077 that divides 48077 without a remainder.

1, 131, 367

Step-4: Factors of 48081

List of positive integer factors of 48081 that divides 48077 without a remainder.

1, 3, 11, 31, 33, 47, 93, 141, 341, 517, 1023, 1457, 1551, 4371, 16027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48077 and 48081. The biggest common factor number is the GCF number.
So the greatest common factor 48077 and 48081 is 1.

Also check out the Least Common Multiple of 48077 and 48081