What is the Greatest Common Factor of 34727 and 34738?

Greatest common factor (GCF) of 34727 and 34738 is 11.

GCF(34727,34738) = 11

We will now calculate the prime factors of 34727 and 34738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34727 and 34738.

How to find the GCF of 34727 and 34738?

We will first find the prime factorization of 34727 and 34738. After we will calculate the factors of 34727 and 34738 and find the biggest common factor number .

Step-1: Prime Factorization of 34727

Prime factors of 34727 are 7, 11, 41. Prime factorization of 34727 in exponential form is:

34727 = 7¹ × 11² × 41¹

Step-2: Prime Factorization of 34738

Prime factors of 34738 are 2, 11, 1579. Prime factorization of 34738 in exponential form is:

34738 = 2¹ × 11¹ × 1579¹

Step-3: Factors of 34727

List of positive integer factors of 34727 that divides 34727 without a remainder.

1, 7, 11, 41, 77, 121, 287, 451, 847, 3157, 4961

Step-4: Factors of 34738

List of positive integer factors of 34738 that divides 34727 without a remainder.

1, 2, 11, 22, 1579, 3158, 17369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34727 and 34738. The biggest common factor number is the GCF number.
So the greatest common factor 34727 and 34738 is 11.

Also check out the Least Common Multiple of 34727 and 34738