What is the Greatest Common Factor of 47044 and 47060?

Greatest common factor (GCF) of 47044 and 47060 is 4.

GCF(47044,47060) = 4

We will now calculate the prime factors of 47044 and 47060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47044 and 47060.

How to find the GCF of 47044 and 47060?

We will first find the prime factorization of 47044 and 47060. After we will calculate the factors of 47044 and 47060 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 47060

Prime factors of 47060 are 2, 5, 13, 181. Prime factorization of 47060 in exponential form is:

47060 = 2² × 5¹ × 13¹ × 181¹

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 47060

List of positive integer factors of 47060 that divides 47044 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 181, 260, 362, 724, 905, 1810, 2353, 3620, 4706, 9412, 11765, 23530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47044 and 47060. The biggest common factor number is the GCF number.
So the greatest common factor 47044 and 47060 is 4.

Also check out the Least Common Multiple of 47044 and 47060