What is the Greatest Common Factor of 47229 and 47235?

Greatest common factor (GCF) of 47229 and 47235 is 3.

GCF(47229,47235) = 3

We will now calculate the prime factors of 47229 and 47235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47229 and 47235.

How to find the GCF of 47229 and 47235?

We will first find the prime factorization of 47229 and 47235. After we will calculate the factors of 47229 and 47235 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47235

Prime factors of 47235 are 3, 5, 47, 67. Prime factorization of 47235 in exponential form is:

47235 = 3¹ × 5¹ × 47¹ × 67¹

Step-3: Factors of 47229

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

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

Step-4: Factors of 47235

List of positive integer factors of 47235 that divides 47229 without a remainder.

1, 3, 5, 15, 47, 67, 141, 201, 235, 335, 705, 1005, 3149, 9447, 15745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47229 and 47235. The biggest common factor number is the GCF number.
So the greatest common factor 47229 and 47235 is 3.

Also check out the Least Common Multiple of 47229 and 47235