What is the Greatest Common Factor of 46935 and 46942?

Greatest common factor (GCF) of 46935 and 46942 is 7.

GCF(46935,46942) = 7

We will now calculate the prime factors of 46935 and 46942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46935 and 46942.

How to find the GCF of 46935 and 46942?

We will first find the prime factorization of 46935 and 46942. After we will calculate the factors of 46935 and 46942 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 46942

Prime factors of 46942 are 2, 7, 479. Prime factorization of 46942 in exponential form is:

46942 = 2¹ × 7² × 479¹

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 46942

List of positive integer factors of 46942 that divides 46935 without a remainder.

1, 2, 7, 14, 49, 98, 479, 958, 3353, 6706, 23471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46935 and 46942. The biggest common factor number is the GCF number.
So the greatest common factor 46935 and 46942 is 7.

Also check out the Least Common Multiple of 46935 and 46942