What is the Greatest Common Factor of 47288 and 47302?

Greatest common factor (GCF) of 47288 and 47302 is 2.

GCF(47288,47302) = 2

We will now calculate the prime factors of 47288 and 47302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47288 and 47302.

How to find the GCF of 47288 and 47302?

We will first find the prime factorization of 47288 and 47302. After we will calculate the factors of 47288 and 47302 and find the biggest common factor number .

Step-1: Prime Factorization of 47288

Prime factors of 47288 are 2, 23, 257. Prime factorization of 47288 in exponential form is:

47288 = 2³ × 23¹ × 257¹

Step-2: Prime Factorization of 47302

Prime factors of 47302 are 2, 67, 353. Prime factorization of 47302 in exponential form is:

47302 = 2¹ × 67¹ × 353¹

Step-3: Factors of 47288

List of positive integer factors of 47288 that divides 47288 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 257, 514, 1028, 2056, 5911, 11822, 23644

Step-4: Factors of 47302

List of positive integer factors of 47302 that divides 47288 without a remainder.

1, 2, 67, 134, 353, 706, 23651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47288 and 47302. The biggest common factor number is the GCF number.
So the greatest common factor 47288 and 47302 is 2.

Also check out the Least Common Multiple of 47288 and 47302