What is the Greatest Common Factor of 48015 and 48031?

Greatest common factor (GCF) of 48015 and 48031 is 1.

GCF(48015,48031) = 1

We will now calculate the prime factors of 48015 and 48031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48015 and 48031.

How to find the GCF of 48015 and 48031?

We will first find the prime factorization of 48015 and 48031. After we will calculate the factors of 48015 and 48031 and find the biggest common factor number .

Step-1: Prime Factorization of 48015

Prime factors of 48015 are 3, 5, 11, 97. Prime factorization of 48015 in exponential form is:

48015 = 3² × 5¹ × 11¹ × 97¹

Step-2: Prime Factorization of 48031

Prime factors of 48031 are 43, 1117. Prime factorization of 48031 in exponential form is:

48031 = 43¹ × 1117¹

Step-3: Factors of 48015

List of positive integer factors of 48015 that divides 48015 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 97, 99, 165, 291, 485, 495, 873, 1067, 1455, 3201, 4365, 5335, 9603, 16005

Step-4: Factors of 48031

List of positive integer factors of 48031 that divides 48015 without a remainder.

1, 43, 1117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48015 and 48031. The biggest common factor number is the GCF number.
So the greatest common factor 48015 and 48031 is 1.

Also check out the Least Common Multiple of 48015 and 48031