What is the Greatest Common Factor of 46959 and 46974?

Greatest common factor (GCF) of 46959 and 46974 is 3.

GCF(46959,46974) = 3

We will now calculate the prime factors of 46959 and 46974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46959 and 46974.

How to find the GCF of 46959 and 46974?

We will first find the prime factorization of 46959 and 46974. After we will calculate the factors of 46959 and 46974 and find the biggest common factor number .

Step-1: Prime Factorization of 46959

Prime factors of 46959 are 3, 11, 1423. Prime factorization of 46959 in exponential form is:

46959 = 3¹ × 11¹ × 1423¹

Step-2: Prime Factorization of 46974

Prime factors of 46974 are 2, 3, 7829. Prime factorization of 46974 in exponential form is:

46974 = 2¹ × 3¹ × 7829¹

Step-3: Factors of 46959

List of positive integer factors of 46959 that divides 46959 without a remainder.

1, 3, 11, 33, 1423, 4269, 15653

Step-4: Factors of 46974

List of positive integer factors of 46974 that divides 46959 without a remainder.

1, 2, 3, 6, 7829, 15658, 23487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46959 and 46974. The biggest common factor number is the GCF number.
So the greatest common factor 46959 and 46974 is 3.

Also check out the Least Common Multiple of 46959 and 46974