What is the Greatest Common Factor of 47325 and 47337?

Greatest common factor (GCF) of 47325 and 47337 is 3.

GCF(47325,47337) = 3

We will now calculate the prime factors of 47325 and 47337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47325 and 47337.

How to find the GCF of 47325 and 47337?

We will first find the prime factorization of 47325 and 47337. After we will calculate the factors of 47325 and 47337 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 47337

Prime factors of 47337 are 3, 31, 509. Prime factorization of 47337 in exponential form is:

47337 = 3¹ × 31¹ × 509¹

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 47337

List of positive integer factors of 47337 that divides 47325 without a remainder.

1, 3, 31, 93, 509, 1527, 15779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47325 and 47337. The biggest common factor number is the GCF number.
So the greatest common factor 47325 and 47337 is 3.

Also check out the Least Common Multiple of 47325 and 47337