What is the Greatest Common Factor of 46947 and 46953?

Greatest common factor (GCF) of 46947 and 46953 is 3.

GCF(46947,46953) = 3

We will now calculate the prime factors of 46947 and 46953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46947 and 46953.

How to find the GCF of 46947 and 46953?

We will first find the prime factorization of 46947 and 46953. After we will calculate the factors of 46947 and 46953 and find the biggest common factor number .

Step-1: Prime Factorization of 46947

Prime factors of 46947 are 3, 15649. Prime factorization of 46947 in exponential form is:

46947 = 3¹ × 15649¹

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 46947

List of positive integer factors of 46947 that divides 46947 without a remainder.

1, 3, 15649

Step-4: Factors of 46953

List of positive integer factors of 46953 that divides 46947 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 46947 and 46953. The biggest common factor number is the GCF number.
So the greatest common factor 46947 and 46953 is 3.

Also check out the Least Common Multiple of 46947 and 46953