What is the Greatest Common Factor of 47325 and 47335?

Greatest common factor (GCF) of 47325 and 47335 is 5.

GCF(47325,47335) = 5

We will now calculate the prime factors of 47325 and 47335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47325 and 47335.

How to find the GCF of 47325 and 47335?

We will first find the prime factorization of 47325 and 47335. After we will calculate the factors of 47325 and 47335 and find the biggest common factor number .

Step-1: Prime Factorization of 47325

Prime factors of 47325 are 3, 5, 631. Prime factorization of 47325 in exponential form is:

47325 = 3¹ × 5² × 631¹

Step-2: Prime Factorization of 47335

Prime factors of 47335 are 5, 9467. Prime factorization of 47335 in exponential form is:

47335 = 5¹ × 9467¹

Step-3: Factors of 47325

List of positive integer factors of 47325 that divides 47325 without a remainder.

1, 3, 5, 15, 25, 75, 631, 1893, 3155, 9465, 15775

Step-4: Factors of 47335

List of positive integer factors of 47335 that divides 47325 without a remainder.

1, 5, 9467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47325 and 47335. The biggest common factor number is the GCF number.
So the greatest common factor 47325 and 47335 is 5.

Also check out the Least Common Multiple of 47325 and 47335