What is the Greatest Common Factor of 47530 and 47544?

Greatest common factor (GCF) of 47530 and 47544 is 14.

GCF(47530,47544) = 14

We will now calculate the prime factors of 47530 and 47544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47530 and 47544.

How to find the GCF of 47530 and 47544?

We will first find the prime factorization of 47530 and 47544. After we will calculate the factors of 47530 and 47544 and find the biggest common factor number .

Step-1: Prime Factorization of 47530

Prime factors of 47530 are 2, 5, 7, 97. Prime factorization of 47530 in exponential form is:

47530 = 2¹ × 5¹ × 7² × 97¹

Step-2: 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-3: Factors of 47530

List of positive integer factors of 47530 that divides 47530 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 97, 98, 194, 245, 485, 490, 679, 970, 1358, 3395, 4753, 6790, 9506, 23765

Step-4: Factors of 47544

List of positive integer factors of 47544 that divides 47530 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47530 and 47544. The biggest common factor number is the GCF number.
So the greatest common factor 47530 and 47544 is 14.

Also check out the Least Common Multiple of 47530 and 47544