What is the Greatest Common Factor of 46935 and 46950?

Greatest common factor (GCF) of 46935 and 46950 is 15.

GCF(46935,46950) = 15

We will now calculate the prime factors of 46935 and 46950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46935 and 46950.

How to find the GCF of 46935 and 46950?

We will first find the prime factorization of 46935 and 46950. After we will calculate the factors of 46935 and 46950 and find the biggest common factor number .

Step-1: Prime Factorization of 46935

Prime factors of 46935 are 3, 5, 7, 149. Prime factorization of 46935 in exponential form is:

46935 = 3² × 5¹ × 7¹ × 149¹

Step-2: Prime Factorization of 46950

Prime factors of 46950 are 2, 3, 5, 313. Prime factorization of 46950 in exponential form is:

46950 = 2¹ × 3¹ × 5² × 313¹

Step-3: Factors of 46935

List of positive integer factors of 46935 that divides 46935 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 149, 315, 447, 745, 1043, 1341, 2235, 3129, 5215, 6705, 9387, 15645

Step-4: Factors of 46950

List of positive integer factors of 46950 that divides 46935 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 313, 626, 939, 1565, 1878, 3130, 4695, 7825, 9390, 15650, 23475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46935 and 46950. The biggest common factor number is the GCF number.
So the greatest common factor 46935 and 46950 is 15.

Also check out the Least Common Multiple of 46935 and 46950