What is the Greatest Common Factor of 48224 and 48228?

Greatest common factor (GCF) of 48224 and 48228 is 4.

GCF(48224,48228) = 4

We will now calculate the prime factors of 48224 and 48228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48224 and 48228.

How to find the GCF of 48224 and 48228?

We will first find the prime factorization of 48224 and 48228. After we will calculate the factors of 48224 and 48228 and find the biggest common factor number .

Step-1: Prime Factorization of 48224

Prime factors of 48224 are 2, 11, 137. Prime factorization of 48224 in exponential form is:

48224 = 2⁵ × 11¹ × 137¹

Step-2: 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-3: Factors of 48224

List of positive integer factors of 48224 that divides 48224 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 137, 176, 274, 352, 548, 1096, 1507, 2192, 3014, 4384, 6028, 12056, 24112

Step-4: Factors of 48228

List of positive integer factors of 48228 that divides 48224 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48224 and 48228. The biggest common factor number is the GCF number.
So the greatest common factor 48224 and 48228 is 4.

Also check out the Least Common Multiple of 48224 and 48228