What is the Greatest Common Factor of 48223 and 48237?

Greatest common factor (GCF) of 48223 and 48237 is 7.

GCF(48223,48237) = 7

We will now calculate the prime factors of 48223 and 48237, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48223 and 48237.

How to find the GCF of 48223 and 48237?

We will first find the prime factorization of 48223 and 48237. After we will calculate the factors of 48223 and 48237 and find the biggest common factor number .

Step-1: Prime Factorization of 48223

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

48223 = 7¹ × 83²

Step-2: Prime Factorization of 48237

Prime factors of 48237 are 3, 7, 2297. Prime factorization of 48237 in exponential form is:

48237 = 3¹ × 7¹ × 2297¹

Step-3: Factors of 48223

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

1, 7, 83, 581, 6889

Step-4: Factors of 48237

List of positive integer factors of 48237 that divides 48223 without a remainder.

1, 3, 7, 21, 2297, 6891, 16079

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48223 and 48237. The biggest common factor number is the GCF number.
So the greatest common factor 48223 and 48237 is 7.

Also check out the Least Common Multiple of 48223 and 48237