What is the Greatest Common Factor of 46914 and 46926?

Greatest common factor (GCF) of 46914 and 46926 is 6.

GCF(46914,46926) = 6

We will now calculate the prime factors of 46914 and 46926, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46914 and 46926.

How to find the GCF of 46914 and 46926?

We will first find the prime factorization of 46914 and 46926. After we will calculate the factors of 46914 and 46926 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 46926

Prime factors of 46926 are 2, 3, 11, 79. Prime factorization of 46926 in exponential form is:

46926 = 2¹ × 3³ × 11¹ × 79¹

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 46926

List of positive integer factors of 46926 that divides 46914 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 79, 99, 158, 198, 237, 297, 474, 594, 711, 869, 1422, 1738, 2133, 2607, 4266, 5214, 7821, 15642, 23463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46914 and 46926. The biggest common factor number is the GCF number.
So the greatest common factor 46914 and 46926 is 6.

Also check out the Least Common Multiple of 46914 and 46926