What is the Greatest Common Factor of 47802 and 47813?

Greatest common factor (GCF) of 47802 and 47813 is 1.

GCF(47802,47813) = 1

We will now calculate the prime factors of 47802 and 47813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47802 and 47813.

How to find the GCF of 47802 and 47813?

We will first find the prime factorization of 47802 and 47813. After we will calculate the factors of 47802 and 47813 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47813

Prime factors of 47813 are 137, 349. Prime factorization of 47813 in exponential form is:

47813 = 137¹ × 349¹

Step-3: Factors of 47802

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

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

Step-4: Factors of 47813

List of positive integer factors of 47813 that divides 47802 without a remainder.

1, 137, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47802 and 47813. The biggest common factor number is the GCF number.
So the greatest common factor 47802 and 47813 is 1.

Also check out the Least Common Multiple of 47802 and 47813