What is the Greatest Common Factor of 48216 and 48223?

Greatest common factor (GCF) of 48216 and 48223 is 7.

GCF(48216,48223) = 7

We will now calculate the prime factors of 48216 and 48223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48216 and 48223.

How to find the GCF of 48216 and 48223?

We will first find the prime factorization of 48216 and 48223. After we will calculate the factors of 48216 and 48223 and find the biggest common factor number .

Step-1: Prime Factorization of 48216

Prime factors of 48216 are 2, 3, 7, 41. Prime factorization of 48216 in exponential form is:

48216 = 2³ × 3¹ × 7² × 41¹

Step-2: Prime Factorization of 48223

Prime factors of 48223 are 7, 83. Prime factorization of 48223 in exponential form is:

48223 = 7¹ × 83²

Step-3: Factors of 48216

List of positive integer factors of 48216 that divides 48216 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 41, 42, 49, 56, 82, 84, 98, 123, 147, 164, 168, 196, 246, 287, 294, 328, 392, 492, 574, 588, 861, 984, 1148, 1176, 1722, 2009, 2296, 3444, 4018, 6027, 6888, 8036, 12054, 16072, 24108

Step-4: Factors of 48223

List of positive integer factors of 48223 that divides 48216 without a remainder.

1, 7, 83, 581, 6889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48216 and 48223. The biggest common factor number is the GCF number.
So the greatest common factor 48216 and 48223 is 7.

Also check out the Least Common Multiple of 48216 and 48223