What is the Greatest Common Factor of 47214 and 47230?

Greatest common factor (GCF) of 47214 and 47230 is 2.

GCF(47214,47230) = 2

We will now calculate the prime factors of 47214 and 47230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47214 and 47230.

How to find the GCF of 47214 and 47230?

We will first find the prime factorization of 47214 and 47230. After we will calculate the factors of 47214 and 47230 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47230

Prime factors of 47230 are 2, 5, 4723. Prime factorization of 47230 in exponential form is:

47230 = 2¹ × 5¹ × 4723¹

Step-3: Factors of 47214

List of positive integer factors of 47214 that divides 47214 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

Step-4: Factors of 47230

List of positive integer factors of 47230 that divides 47214 without a remainder.

1, 2, 5, 10, 4723, 9446, 23615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47214 and 47230. The biggest common factor number is the GCF number.
So the greatest common factor 47214 and 47230 is 2.

Also check out the Least Common Multiple of 47214 and 47230