What is the Greatest Common Factor of 47782 and 47788?

Greatest common factor (GCF) of 47782 and 47788 is 2.

GCF(47782,47788) = 2

We will now calculate the prime factors of 47782 and 47788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47782 and 47788.

How to find the GCF of 47782 and 47788?

We will first find the prime factorization of 47782 and 47788. After we will calculate the factors of 47782 and 47788 and find the biggest common factor number .

Step-1: Prime Factorization of 47782

Prime factors of 47782 are 2, 7, 3413. Prime factorization of 47782 in exponential form is:

47782 = 2¹ × 7¹ × 3413¹

Step-2: Prime Factorization of 47788

Prime factors of 47788 are 2, 13, 919. Prime factorization of 47788 in exponential form is:

47788 = 2² × 13¹ × 919¹

Step-3: Factors of 47782

List of positive integer factors of 47782 that divides 47782 without a remainder.

1, 2, 7, 14, 3413, 6826, 23891

Step-4: Factors of 47788

List of positive integer factors of 47788 that divides 47782 without a remainder.

1, 2, 4, 13, 26, 52, 919, 1838, 3676, 11947, 23894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47782 and 47788. The biggest common factor number is the GCF number.
So the greatest common factor 47782 and 47788 is 2.

Also check out the Least Common Multiple of 47782 and 47788