What is the Greatest Common Factor of 47922 and 47937?

Greatest common factor (GCF) of 47922 and 47937 is 3.

GCF(47922,47937) = 3

We will now calculate the prime factors of 47922 and 47937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47922 and 47937.

How to find the GCF of 47922 and 47937?

We will first find the prime factorization of 47922 and 47937. After we will calculate the factors of 47922 and 47937 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 47937

Prime factors of 47937 are 3, 19, 29. Prime factorization of 47937 in exponential form is:

47937 = 3¹ × 19¹ × 29²

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 47937

List of positive integer factors of 47937 that divides 47922 without a remainder.

1, 3, 19, 29, 57, 87, 551, 841, 1653, 2523, 15979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47922 and 47937. The biggest common factor number is the GCF number.
So the greatest common factor 47922 and 47937 is 3.

Also check out the Least Common Multiple of 47922 and 47937