What is the Greatest Common Factor of 47224 and 47233?

Greatest common factor (GCF) of 47224 and 47233 is 1.

GCF(47224,47233) = 1

We will now calculate the prime factors of 47224 and 47233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47224 and 47233.

How to find the GCF of 47224 and 47233?

We will first find the prime factorization of 47224 and 47233. After we will calculate the factors of 47224 and 47233 and find the biggest common factor number .

Step-1: Prime Factorization of 47224

Prime factors of 47224 are 2, 5903. Prime factorization of 47224 in exponential form is:

47224 = 2³ × 5903¹

Step-2: Prime Factorization of 47233

Prime factors of 47233 are 149, 317. Prime factorization of 47233 in exponential form is:

47233 = 149¹ × 317¹

Step-3: Factors of 47224

List of positive integer factors of 47224 that divides 47224 without a remainder.

1, 2, 4, 8, 5903, 11806, 23612

Step-4: Factors of 47233

List of positive integer factors of 47233 that divides 47224 without a remainder.

1, 149, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47224 and 47233. The biggest common factor number is the GCF number.
So the greatest common factor 47224 and 47233 is 1.

Also check out the Least Common Multiple of 47224 and 47233