What is the Greatest Common Factor of 47228 and 47242?

Greatest common factor (GCF) of 47228 and 47242 is 2.

GCF(47228,47242) = 2

We will now calculate the prime factors of 47228 and 47242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47228 and 47242.

How to find the GCF of 47228 and 47242?

We will first find the prime factorization of 47228 and 47242. After we will calculate the factors of 47228 and 47242 and find the biggest common factor number .

Step-1: Prime Factorization of 47228

Prime factors of 47228 are 2, 11807. Prime factorization of 47228 in exponential form is:

47228 = 2² × 11807¹

Step-2: Prime Factorization of 47242

Prime factors of 47242 are 2, 13, 23, 79. Prime factorization of 47242 in exponential form is:

47242 = 2¹ × 13¹ × 23¹ × 79¹

Step-3: Factors of 47228

List of positive integer factors of 47228 that divides 47228 without a remainder.

1, 2, 4, 11807, 23614

Step-4: Factors of 47242

List of positive integer factors of 47242 that divides 47228 without a remainder.

1, 2, 13, 23, 26, 46, 79, 158, 299, 598, 1027, 1817, 2054, 3634, 23621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47228 and 47242. The biggest common factor number is the GCF number.
So the greatest common factor 47228 and 47242 is 2.

Also check out the Least Common Multiple of 47228 and 47242