What is the Greatest Common Factor of 47714 and 47724?

Greatest common factor (GCF) of 47714 and 47724 is 2.

GCF(47714,47724) = 2

We will now calculate the prime factors of 47714 and 47724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47714 and 47724.

How to find the GCF of 47714 and 47724?

We will first find the prime factorization of 47714 and 47724. After we will calculate the factors of 47714 and 47724 and find the biggest common factor number .

Step-1: Prime Factorization of 47714

Prime factors of 47714 are 2, 23857. Prime factorization of 47714 in exponential form is:

47714 = 2¹ × 23857¹

Step-2: Prime Factorization of 47724

Prime factors of 47724 are 2, 3, 41, 97. Prime factorization of 47724 in exponential form is:

47724 = 2² × 3¹ × 41¹ × 97¹

Step-3: Factors of 47714

List of positive integer factors of 47714 that divides 47714 without a remainder.

1, 2, 23857

Step-4: Factors of 47724

List of positive integer factors of 47724 that divides 47714 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 97, 123, 164, 194, 246, 291, 388, 492, 582, 1164, 3977, 7954, 11931, 15908, 23862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47714 and 47724. The biggest common factor number is the GCF number.
So the greatest common factor 47714 and 47724 is 2.

Also check out the Least Common Multiple of 47714 and 47724