What is the Greatest Common Factor of 47922 and 47934?

Greatest common factor (GCF) of 47922 and 47934 is 6.

GCF(47922,47934) = 6

We will now calculate the prime factors of 47922 and 47934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47922 and 47934.

How to find the GCF of 47922 and 47934?

We will first find the prime factorization of 47922 and 47934. After we will calculate the factors of 47922 and 47934 and find the biggest common factor number .

Step-1: Prime Factorization of 47922

Prime factors of 47922 are 2, 3, 7, 163. Prime factorization of 47922 in exponential form is:

47922 = 2¹ × 3¹ × 7² × 163¹

Step-2: Prime Factorization of 47934

Prime factors of 47934 are 2, 3, 2663. Prime factorization of 47934 in exponential form is:

47934 = 2¹ × 3² × 2663¹

Step-3: Factors of 47922

List of positive integer factors of 47922 that divides 47922 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 163, 294, 326, 489, 978, 1141, 2282, 3423, 6846, 7987, 15974, 23961

Step-4: Factors of 47934

List of positive integer factors of 47934 that divides 47922 without a remainder.

1, 2, 3, 6, 9, 18, 2663, 5326, 7989, 15978, 23967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47922 and 47934. The biggest common factor number is the GCF number.
So the greatest common factor 47922 and 47934 is 6.

Also check out the Least Common Multiple of 47922 and 47934