What is the Greatest Common Factor of 48228 and 48235?

Greatest common factor (GCF) of 48228 and 48235 is 1.

GCF(48228,48235) = 1

We will now calculate the prime factors of 48228 and 48235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48228 and 48235.

How to find the GCF of 48228 and 48235?

We will first find the prime factorization of 48228 and 48235. After we will calculate the factors of 48228 and 48235 and find the biggest common factor number .

Step-1: Prime Factorization of 48228

Prime factors of 48228 are 2, 3, 4019. Prime factorization of 48228 in exponential form is:

48228 = 2² × 3¹ × 4019¹

Step-2: Prime Factorization of 48235

Prime factors of 48235 are 5, 11, 877. Prime factorization of 48235 in exponential form is:

48235 = 5¹ × 11¹ × 877¹

Step-3: Factors of 48228

List of positive integer factors of 48228 that divides 48228 without a remainder.

1, 2, 3, 4, 6, 12, 4019, 8038, 12057, 16076, 24114

Step-4: Factors of 48235

List of positive integer factors of 48235 that divides 48228 without a remainder.

1, 5, 11, 55, 877, 4385, 9647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48228 and 48235. The biggest common factor number is the GCF number.
So the greatest common factor 48228 and 48235 is 1.

Also check out the Least Common Multiple of 48228 and 48235