What is the Greatest Common Factor of 47044 and 47063?

Greatest common factor (GCF) of 47044 and 47063 is 19.

GCF(47044,47063) = 19

We will now calculate the prime factors of 47044 and 47063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47044 and 47063.

How to find the GCF of 47044 and 47063?

We will first find the prime factorization of 47044 and 47063. After we will calculate the factors of 47044 and 47063 and find the biggest common factor number .

Step-1: Prime Factorization of 47044

Prime factors of 47044 are 2, 19, 619. Prime factorization of 47044 in exponential form is:

47044 = 2² × 19¹ × 619¹

Step-2: Prime Factorization of 47063

Prime factors of 47063 are 19, 2477. Prime factorization of 47063 in exponential form is:

47063 = 19¹ × 2477¹

Step-3: Factors of 47044

List of positive integer factors of 47044 that divides 47044 without a remainder.

1, 2, 4, 19, 38, 76, 619, 1238, 2476, 11761, 23522

Step-4: Factors of 47063

List of positive integer factors of 47063 that divides 47044 without a remainder.

1, 19, 2477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47044 and 47063. The biggest common factor number is the GCF number.
So the greatest common factor 47044 and 47063 is 19.

Also check out the Least Common Multiple of 47044 and 47063