What is the Greatest Common Factor of 47788 and 47802?

Greatest common factor (GCF) of 47788 and 47802 is 2.

GCF(47788,47802) = 2

We will now calculate the prime factors of 47788 and 47802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47788 and 47802.

How to find the GCF of 47788 and 47802?

We will first find the prime factorization of 47788 and 47802. After we will calculate the factors of 47788 and 47802 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47802

Prime factors of 47802 are 2, 3, 31, 257. Prime factorization of 47802 in exponential form is:

47802 = 2¹ × 3¹ × 31¹ × 257¹

Step-3: Factors of 47788

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

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

Step-4: Factors of 47802

List of positive integer factors of 47802 that divides 47788 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 257, 514, 771, 1542, 7967, 15934, 23901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47788 and 47802. The biggest common factor number is the GCF number.
So the greatest common factor 47788 and 47802 is 2.

Also check out the Least Common Multiple of 47788 and 47802