What is the Greatest Common Factor of 47781 and 47787?

Greatest common factor (GCF) of 47781 and 47787 is 3.

GCF(47781,47787) = 3

We will now calculate the prime factors of 47781 and 47787, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47781 and 47787.

How to find the GCF of 47781 and 47787?

We will first find the prime factorization of 47781 and 47787. After we will calculate the factors of 47781 and 47787 and find the biggest common factor number .

Step-1: Prime Factorization of 47781

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

47781 = 3² × 5309¹

Step-2: Prime Factorization of 47787

Prime factors of 47787 are 3, 17, 937. Prime factorization of 47787 in exponential form is:

47787 = 3¹ × 17¹ × 937¹

Step-3: Factors of 47781

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

1, 3, 9, 5309, 15927

Step-4: Factors of 47787

List of positive integer factors of 47787 that divides 47781 without a remainder.

1, 3, 17, 51, 937, 2811, 15929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47781 and 47787. The biggest common factor number is the GCF number.
So the greatest common factor 47781 and 47787 is 3.

Also check out the Least Common Multiple of 47781 and 47787