What is the Greatest Common Factor of 47516 and 47530?

Greatest common factor (GCF) of 47516 and 47530 is 14.

GCF(47516,47530) = 14

We will now calculate the prime factors of 47516 and 47530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47516 and 47530.

How to find the GCF of 47516 and 47530?

We will first find the prime factorization of 47516 and 47530. After we will calculate the factors of 47516 and 47530 and find the biggest common factor number .

Step-1: Prime Factorization of 47516

Prime factors of 47516 are 2, 7, 1697. Prime factorization of 47516 in exponential form is:

47516 = 2² × 7¹ × 1697¹

Step-2: 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-3: Factors of 47516

List of positive integer factors of 47516 that divides 47516 without a remainder.

1, 2, 4, 7, 14, 28, 1697, 3394, 6788, 11879, 23758

Step-4: Factors of 47530

List of positive integer factors of 47530 that divides 47516 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47516 and 47530. The biggest common factor number is the GCF number.
So the greatest common factor 47516 and 47530 is 14.

Also check out the Least Common Multiple of 47516 and 47530