What is the Greatest Common Factor of 47598 and 47615?

Greatest common factor (GCF) of 47598 and 47615 is 1.

GCF(47598,47615) = 1

We will now calculate the prime factors of 47598 and 47615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47598 and 47615.

How to find the GCF of 47598 and 47615?

We will first find the prime factorization of 47598 and 47615. After we will calculate the factors of 47598 and 47615 and find the biggest common factor number .

Step-1: Prime Factorization of 47598

Prime factors of 47598 are 2, 3, 7933. Prime factorization of 47598 in exponential form is:

47598 = 2¹ × 3¹ × 7933¹

Step-2: Prime Factorization of 47615

Prime factors of 47615 are 5, 89, 107. Prime factorization of 47615 in exponential form is:

47615 = 5¹ × 89¹ × 107¹

Step-3: Factors of 47598

List of positive integer factors of 47598 that divides 47598 without a remainder.

1, 2, 3, 6, 7933, 15866, 23799

Step-4: Factors of 47615

List of positive integer factors of 47615 that divides 47598 without a remainder.

1, 5, 89, 107, 445, 535, 9523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47598 and 47615. The biggest common factor number is the GCF number.
So the greatest common factor 47598 and 47615 is 1.

Also check out the Least Common Multiple of 47598 and 47615