What is the Greatest Common Factor of 47593 and 47604?

Greatest common factor (GCF) of 47593 and 47604 is 1.

GCF(47593,47604) = 1

We will now calculate the prime factors of 47593 and 47604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47593 and 47604.

How to find the GCF of 47593 and 47604?

We will first find the prime factorization of 47593 and 47604. After we will calculate the factors of 47593 and 47604 and find the biggest common factor number .

Step-1: Prime Factorization of 47593

Prime factors of 47593 are 7, 13, 523. Prime factorization of 47593 in exponential form is:

47593 = 7¹ × 13¹ × 523¹

Step-2: Prime Factorization of 47604

Prime factors of 47604 are 2, 3, 3967. Prime factorization of 47604 in exponential form is:

47604 = 2² × 3¹ × 3967¹

Step-3: Factors of 47593

List of positive integer factors of 47593 that divides 47593 without a remainder.

1, 7, 13, 91, 523, 3661, 6799

Step-4: Factors of 47604

List of positive integer factors of 47604 that divides 47593 without a remainder.

1, 2, 3, 4, 6, 12, 3967, 7934, 11901, 15868, 23802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47593 and 47604. The biggest common factor number is the GCF number.
So the greatest common factor 47593 and 47604 is 1.

Also check out the Least Common Multiple of 47593 and 47604