What is the Greatest Common Factor of 47278 and 47289?

Greatest common factor (GCF) of 47278 and 47289 is 11.

GCF(47278,47289) = 11

We will now calculate the prime factors of 47278 and 47289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47278 and 47289.

How to find the GCF of 47278 and 47289?

We will first find the prime factorization of 47278 and 47289. After we will calculate the factors of 47278 and 47289 and find the biggest common factor number .

Step-1: Prime Factorization of 47278

Prime factors of 47278 are 2, 7, 11, 307. Prime factorization of 47278 in exponential form is:

47278 = 2¹ × 7¹ × 11¹ × 307¹

Step-2: Prime Factorization of 47289

Prime factors of 47289 are 3, 11, 1433. Prime factorization of 47289 in exponential form is:

47289 = 3¹ × 11¹ × 1433¹

Step-3: Factors of 47278

List of positive integer factors of 47278 that divides 47278 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 307, 614, 2149, 3377, 4298, 6754, 23639

Step-4: Factors of 47289

List of positive integer factors of 47289 that divides 47278 without a remainder.

1, 3, 11, 33, 1433, 4299, 15763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47278 and 47289. The biggest common factor number is the GCF number.
So the greatest common factor 47278 and 47289 is 11.

Also check out the Least Common Multiple of 47278 and 47289