What is the Greatest Common Factor of 47798 and 47802?

Greatest common factor (GCF) of 47798 and 47802 is 2.

GCF(47798,47802) = 2

We will now calculate the prime factors of 47798 and 47802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47798 and 47802.

How to find the GCF of 47798 and 47802?

We will first find the prime factorization of 47798 and 47802. After we will calculate the factors of 47798 and 47802 and find the biggest common factor number .

Step-1: Prime Factorization of 47798

Prime factors of 47798 are 2, 23899. Prime factorization of 47798 in exponential form is:

47798 = 2¹ × 23899¹

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 47798

List of positive integer factors of 47798 that divides 47798 without a remainder.

1, 2, 23899

Step-4: Factors of 47802

List of positive integer factors of 47802 that divides 47798 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 47798 and 47802. The biggest common factor number is the GCF number.
So the greatest common factor 47798 and 47802 is 2.

Also check out the Least Common Multiple of 47798 and 47802