What is the Greatest Common Factor of 47218 and 47236?

Greatest common factor (GCF) of 47218 and 47236 is 2.

GCF(47218,47236) = 2

We will now calculate the prime factors of 47218 and 47236, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47218 and 47236.

How to find the GCF of 47218 and 47236?

We will first find the prime factorization of 47218 and 47236. After we will calculate the factors of 47218 and 47236 and find the biggest common factor number .

Step-1: Prime Factorization of 47218

Prime factors of 47218 are 2, 23609. Prime factorization of 47218 in exponential form is:

47218 = 2¹ × 23609¹

Step-2: Prime Factorization of 47236

Prime factors of 47236 are 2, 7, 241. Prime factorization of 47236 in exponential form is:

47236 = 2² × 7² × 241¹

Step-3: Factors of 47218

List of positive integer factors of 47218 that divides 47218 without a remainder.

1, 2, 23609

Step-4: Factors of 47236

List of positive integer factors of 47236 that divides 47218 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 241, 482, 964, 1687, 3374, 6748, 11809, 23618

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47218 and 47236. The biggest common factor number is the GCF number.
So the greatest common factor 47218 and 47236 is 2.

Also check out the Least Common Multiple of 47218 and 47236