What is the Greatest Common Factor of 46935 and 46946?

Greatest common factor (GCF) of 46935 and 46946 is 1.

GCF(46935,46946) = 1

We will now calculate the prime factors of 46935 and 46946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46935 and 46946.

How to find the GCF of 46935 and 46946?

We will first find the prime factorization of 46935 and 46946. After we will calculate the factors of 46935 and 46946 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 46946

Prime factors of 46946 are 2, 23473. Prime factorization of 46946 in exponential form is:

46946 = 2¹ × 23473¹

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 46946

List of positive integer factors of 46946 that divides 46935 without a remainder.

1, 2, 23473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46935 and 46946. The biggest common factor number is the GCF number.
So the greatest common factor 46935 and 46946 is 1.

Also check out the Least Common Multiple of 46935 and 46946