What is the Greatest Common Factor of 46938 and 46953?

Greatest common factor (GCF) of 46938 and 46953 is 3.

GCF(46938,46953) = 3

We will now calculate the prime factors of 46938 and 46953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46938 and 46953.

How to find the GCF of 46938 and 46953?

We will first find the prime factorization of 46938 and 46953. After we will calculate the factors of 46938 and 46953 and find the biggest common factor number .

Step-1: Prime Factorization of 46938

Prime factors of 46938 are 2, 3, 7823. Prime factorization of 46938 in exponential form is:

46938 = 2¹ × 3¹ × 7823¹

Step-2: Prime Factorization of 46953

Prime factors of 46953 are 3, 37, 47. Prime factorization of 46953 in exponential form is:

46953 = 3³ × 37¹ × 47¹

Step-3: Factors of 46938

List of positive integer factors of 46938 that divides 46938 without a remainder.

1, 2, 3, 6, 7823, 15646, 23469

Step-4: Factors of 46953

List of positive integer factors of 46953 that divides 46938 without a remainder.

1, 3, 9, 27, 37, 47, 111, 141, 333, 423, 999, 1269, 1739, 5217, 15651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46938 and 46953. The biggest common factor number is the GCF number.
So the greatest common factor 46938 and 46953 is 3.

Also check out the Least Common Multiple of 46938 and 46953