What is the Greatest Common Factor of 47320 and 47335?

Greatest common factor (GCF) of 47320 and 47335 is 5.

GCF(47320,47335) = 5

We will now calculate the prime factors of 47320 and 47335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47320 and 47335.

How to find the GCF of 47320 and 47335?

We will first find the prime factorization of 47320 and 47335. After we will calculate the factors of 47320 and 47335 and find the biggest common factor number .

Step-1: Prime Factorization of 47320

Prime factors of 47320 are 2, 5, 7, 13. Prime factorization of 47320 in exponential form is:

47320 = 2³ × 5¹ × 7¹ × 13²

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 47320

List of positive integer factors of 47320 that divides 47320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 169, 182, 260, 280, 338, 364, 455, 520, 676, 728, 845, 910, 1183, 1352, 1690, 1820, 2366, 3380, 3640, 4732, 5915, 6760, 9464, 11830, 23660

Step-4: Factors of 47335

List of positive integer factors of 47335 that divides 47320 without a remainder.

1, 5, 9467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47320 and 47335. The biggest common factor number is the GCF number.
So the greatest common factor 47320 and 47335 is 5.

Also check out the Least Common Multiple of 47320 and 47335