What is the Greatest Common Factor of 46935 and 46943?

Greatest common factor (GCF) of 46935 and 46943 is 1.

GCF(46935,46943) = 1

We will now calculate the prime factors of 46935 and 46943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46935 and 46943.

How to find the GCF of 46935 and 46943?

We will first find the prime factorization of 46935 and 46943. After we will calculate the factors of 46935 and 46943 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 46943

Prime factors of 46943 are 13, 23, 157. Prime factorization of 46943 in exponential form is:

46943 = 13¹ × 23¹ × 157¹

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 46943

List of positive integer factors of 46943 that divides 46935 without a remainder.

1, 13, 23, 157, 299, 2041, 3611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46935 and 46943. The biggest common factor number is the GCF number.
So the greatest common factor 46935 and 46943 is 1.

Also check out the Least Common Multiple of 46935 and 46943