What is the Greatest Common Factor of 47814 and 47833?

Greatest common factor (GCF) of 47814 and 47833 is 1.

GCF(47814,47833) = 1

We will now calculate the prime factors of 47814 and 47833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47814 and 47833.

How to find the GCF of 47814 and 47833?

We will first find the prime factorization of 47814 and 47833. After we will calculate the factors of 47814 and 47833 and find the biggest common factor number .

Step-1: Prime Factorization of 47814

Prime factors of 47814 are 2, 3, 13, 613. Prime factorization of 47814 in exponential form is:

47814 = 2¹ × 3¹ × 13¹ × 613¹

Step-2: Prime Factorization of 47833

Prime factors of 47833 are 31, 1543. Prime factorization of 47833 in exponential form is:

47833 = 31¹ × 1543¹

Step-3: Factors of 47814

List of positive integer factors of 47814 that divides 47814 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 613, 1226, 1839, 3678, 7969, 15938, 23907

Step-4: Factors of 47833

List of positive integer factors of 47833 that divides 47814 without a remainder.

1, 31, 1543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47814 and 47833. The biggest common factor number is the GCF number.
So the greatest common factor 47814 and 47833 is 1.

Also check out the Least Common Multiple of 47814 and 47833