What is the Greatest Common Factor of 47914 and 47922?

Greatest common factor (GCF) of 47914 and 47922 is 2.

GCF(47914,47922) = 2

We will now calculate the prime factors of 47914 and 47922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47914 and 47922.

How to find the GCF of 47914 and 47922?

We will first find the prime factorization of 47914 and 47922. After we will calculate the factors of 47914 and 47922 and find the biggest common factor number .

Step-1: Prime Factorization of 47914

Prime factors of 47914 are 2, 23957. Prime factorization of 47914 in exponential form is:

47914 = 2¹ × 23957¹

Step-2: 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-3: Factors of 47914

List of positive integer factors of 47914 that divides 47914 without a remainder.

1, 2, 23957

Step-4: Factors of 47922

List of positive integer factors of 47922 that divides 47914 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47914 and 47922. The biggest common factor number is the GCF number.
So the greatest common factor 47914 and 47922 is 2.

Also check out the Least Common Multiple of 47914 and 47922