What is the Greatest Common Factor of 47530 and 47548?

Greatest common factor (GCF) of 47530 and 47548 is 2.

GCF(47530,47548) = 2

We will now calculate the prime factors of 47530 and 47548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47530 and 47548.

How to find the GCF of 47530 and 47548?

We will first find the prime factorization of 47530 and 47548. After we will calculate the factors of 47530 and 47548 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 47548

Prime factors of 47548 are 2, 11887. Prime factorization of 47548 in exponential form is:

47548 = 2² × 11887¹

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 47548

List of positive integer factors of 47548 that divides 47530 without a remainder.

1, 2, 4, 11887, 23774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47530 and 47548. The biggest common factor number is the GCF number.
So the greatest common factor 47530 and 47548 is 2.

Also check out the Least Common Multiple of 47530 and 47548