What is the Greatest Common Factor of 47209 and 47214?

Greatest common factor (GCF) of 47209 and 47214 is 1.

GCF(47209,47214) = 1

We will now calculate the prime factors of 47209 and 47214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47209 and 47214.

How to find the GCF of 47209 and 47214?

We will first find the prime factorization of 47209 and 47214. After we will calculate the factors of 47209 and 47214 and find the biggest common factor number .

Step-1: Prime Factorization of 47209

Prime factors of 47209 are 17, 2777. Prime factorization of 47209 in exponential form is:

47209 = 17¹ × 2777¹

Step-2: Prime Factorization of 47214

Prime factors of 47214 are 2, 3, 43, 61. Prime factorization of 47214 in exponential form is:

47214 = 2¹ × 3² × 43¹ × 61¹

Step-3: Factors of 47209

List of positive integer factors of 47209 that divides 47209 without a remainder.

1, 17, 2777

Step-4: Factors of 47214

List of positive integer factors of 47214 that divides 47209 without a remainder.

1, 2, 3, 6, 9, 18, 43, 61, 86, 122, 129, 183, 258, 366, 387, 549, 774, 1098, 2623, 5246, 7869, 15738, 23607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47209 and 47214. The biggest common factor number is the GCF number.
So the greatest common factor 47209 and 47214 is 1.

Also check out the Least Common Multiple of 47209 and 47214