What is the Greatest Common Factor of 47225 and 47229?

Greatest common factor (GCF) of 47225 and 47229 is 1.

GCF(47225,47229) = 1

We will now calculate the prime factors of 47225 and 47229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47225 and 47229.

How to find the GCF of 47225 and 47229?

We will first find the prime factorization of 47225 and 47229. After we will calculate the factors of 47225 and 47229 and find the biggest common factor number .

Step-1: Prime Factorization of 47225

Prime factors of 47225 are 5, 1889. Prime factorization of 47225 in exponential form is:

47225 = 5² × 1889¹

Step-2: Prime Factorization of 47229

Prime factors of 47229 are 3, 7, 13, 173. Prime factorization of 47229 in exponential form is:

47229 = 3¹ × 7¹ × 13¹ × 173¹

Step-3: Factors of 47225

List of positive integer factors of 47225 that divides 47225 without a remainder.

1, 5, 25, 1889, 9445

Step-4: Factors of 47229

List of positive integer factors of 47229 that divides 47225 without a remainder.

1, 3, 7, 13, 21, 39, 91, 173, 273, 519, 1211, 2249, 3633, 6747, 15743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47225 and 47229. The biggest common factor number is the GCF number.
So the greatest common factor 47225 and 47229 is 1.

Also check out the Least Common Multiple of 47225 and 47229