What is the Greatest Common Factor of 47775 and 47781?

Greatest common factor (GCF) of 47775 and 47781 is 3.

GCF(47775,47781) = 3

We will now calculate the prime factors of 47775 and 47781, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47775 and 47781.

How to find the GCF of 47775 and 47781?

We will first find the prime factorization of 47775 and 47781. After we will calculate the factors of 47775 and 47781 and find the biggest common factor number .

Step-1: Prime Factorization of 47775

Prime factors of 47775 are 3, 5, 7, 13. Prime factorization of 47775 in exponential form is:

47775 = 3¹ × 5² × 7² × 13¹

Step-2: Prime Factorization of 47781

Prime factors of 47781 are 3, 5309. Prime factorization of 47781 in exponential form is:

47781 = 3² × 5309¹

Step-3: Factors of 47775

List of positive integer factors of 47775 that divides 47775 without a remainder.

1, 3, 5, 7, 13, 15, 21, 25, 35, 39, 49, 65, 75, 91, 105, 147, 175, 195, 245, 273, 325, 455, 525, 637, 735, 975, 1225, 1365, 1911, 2275, 3185, 3675, 6825, 9555, 15925

Step-4: Factors of 47781

List of positive integer factors of 47781 that divides 47775 without a remainder.

1, 3, 9, 5309, 15927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47775 and 47781. The biggest common factor number is the GCF number.
So the greatest common factor 47775 and 47781 is 3.

Also check out the Least Common Multiple of 47775 and 47781