What is the Greatest Common Factor of 47597 and 47608?

Greatest common factor (GCF) of 47597 and 47608 is 11.

GCF(47597,47608) = 11

We will now calculate the prime factors of 47597 and 47608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47597 and 47608.

How to find the GCF of 47597 and 47608?

We will first find the prime factorization of 47597 and 47608. After we will calculate the factors of 47597 and 47608 and find the biggest common factor number .

Step-1: Prime Factorization of 47597

Prime factors of 47597 are 11, 4327. Prime factorization of 47597 in exponential form is:

47597 = 11¹ × 4327¹

Step-2: Prime Factorization of 47608

Prime factors of 47608 are 2, 11, 541. Prime factorization of 47608 in exponential form is:

47608 = 2³ × 11¹ × 541¹

Step-3: Factors of 47597

List of positive integer factors of 47597 that divides 47597 without a remainder.

1, 11, 4327

Step-4: Factors of 47608

List of positive integer factors of 47608 that divides 47597 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 541, 1082, 2164, 4328, 5951, 11902, 23804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47597 and 47608. The biggest common factor number is the GCF number.
So the greatest common factor 47597 and 47608 is 11.

Also check out the Least Common Multiple of 47597 and 47608