What is the Greatest Common Factor of 47544 and 47558?

Greatest common factor (GCF) of 47544 and 47558 is 14.

GCF(47544,47558) = 14

We will now calculate the prime factors of 47544 and 47558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47544 and 47558.

How to find the GCF of 47544 and 47558?

We will first find the prime factorization of 47544 and 47558. After we will calculate the factors of 47544 and 47558 and find the biggest common factor number .

Step-1: Prime Factorization of 47544

Prime factors of 47544 are 2, 3, 7, 283. Prime factorization of 47544 in exponential form is:

47544 = 2³ × 3¹ × 7¹ × 283¹

Step-2: Prime Factorization of 47558

Prime factors of 47558 are 2, 7, 43, 79. Prime factorization of 47558 in exponential form is:

47558 = 2¹ × 7¹ × 43¹ × 79¹

Step-3: Factors of 47544

List of positive integer factors of 47544 that divides 47544 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 283, 566, 849, 1132, 1698, 1981, 2264, 3396, 3962, 5943, 6792, 7924, 11886, 15848, 23772

Step-4: Factors of 47558

List of positive integer factors of 47558 that divides 47544 without a remainder.

1, 2, 7, 14, 43, 79, 86, 158, 301, 553, 602, 1106, 3397, 6794, 23779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47544 and 47558. The biggest common factor number is the GCF number.
So the greatest common factor 47544 and 47558 is 14.

Also check out the Least Common Multiple of 47544 and 47558