What is the Greatest Common Factor of 48111 and 48119?

Greatest common factor (GCF) of 48111 and 48119 is 1.

GCF(48111,48119) = 1

We will now calculate the prime factors of 48111 and 48119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48111 and 48119.

How to find the GCF of 48111 and 48119?

We will first find the prime factorization of 48111 and 48119. After we will calculate the factors of 48111 and 48119 and find the biggest common factor number .

Step-1: Prime Factorization of 48111

Prime factors of 48111 are 3, 7, 29, 79. Prime factorization of 48111 in exponential form is:

48111 = 3¹ × 7¹ × 29¹ × 79¹

Step-2: Prime Factorization of 48119

Prime factors of 48119 are 48119. Prime factorization of 48119 in exponential form is:

48119 = 48119¹

Step-3: Factors of 48111

List of positive integer factors of 48111 that divides 48111 without a remainder.

1, 3, 7, 21, 29, 79, 87, 203, 237, 553, 609, 1659, 2291, 6873, 16037

Step-4: Factors of 48119

List of positive integer factors of 48119 that divides 48111 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48111 and 48119. The biggest common factor number is the GCF number.
So the greatest common factor 48111 and 48119 is 1.

Also check out the Least Common Multiple of 48111 and 48119