What is the Greatest Common Factor of 47663 and 47674?

Greatest common factor (GCF) of 47663 and 47674 is 11.

GCF(47663,47674) = 11

We will now calculate the prime factors of 47663 and 47674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47663 and 47674.

How to find the GCF of 47663 and 47674?

We will first find the prime factorization of 47663 and 47674. After we will calculate the factors of 47663 and 47674 and find the biggest common factor number .

Step-1: Prime Factorization of 47663

Prime factors of 47663 are 7, 11, 619. Prime factorization of 47663 in exponential form is:

47663 = 7¹ × 11¹ × 619¹

Step-2: Prime Factorization of 47674

Prime factors of 47674 are 2, 11, 197. Prime factorization of 47674 in exponential form is:

47674 = 2¹ × 11² × 197¹

Step-3: Factors of 47663

List of positive integer factors of 47663 that divides 47663 without a remainder.

1, 7, 11, 77, 619, 4333, 6809

Step-4: Factors of 47674

List of positive integer factors of 47674 that divides 47663 without a remainder.

1, 2, 11, 22, 121, 197, 242, 394, 2167, 4334, 23837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47663 and 47674. The biggest common factor number is the GCF number.
So the greatest common factor 47663 and 47674 is 11.

Also check out the Least Common Multiple of 47663 and 47674