What is the Greatest Common Factor of 46914 and 46922?

Greatest common factor (GCF) of 46914 and 46922 is 2.

GCF(46914,46922) = 2

We will now calculate the prime factors of 46914 and 46922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46914 and 46922.

How to find the GCF of 46914 and 46922?

We will first find the prime factorization of 46914 and 46922. After we will calculate the factors of 46914 and 46922 and find the biggest common factor number .

Step-1: Prime Factorization of 46914

Prime factors of 46914 are 2, 3, 7, 1117. Prime factorization of 46914 in exponential form is:

46914 = 2¹ × 3¹ × 7¹ × 1117¹

Step-2: Prime Factorization of 46922

Prime factors of 46922 are 2, 29, 809. Prime factorization of 46922 in exponential form is:

46922 = 2¹ × 29¹ × 809¹

Step-3: Factors of 46914

List of positive integer factors of 46914 that divides 46914 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1117, 2234, 3351, 6702, 7819, 15638, 23457

Step-4: Factors of 46922

List of positive integer factors of 46922 that divides 46914 without a remainder.

1, 2, 29, 58, 809, 1618, 23461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46914 and 46922. The biggest common factor number is the GCF number.
So the greatest common factor 46914 and 46922 is 2.

Also check out the Least Common Multiple of 46914 and 46922