What is the Greatest Common Factor of 46735 and 46748?

Greatest common factor (GCF) of 46735 and 46748 is 13.

GCF(46735,46748) = 13

We will now calculate the prime factors of 46735 and 46748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46735 and 46748.

How to find the GCF of 46735 and 46748?

We will first find the prime factorization of 46735 and 46748. After we will calculate the factors of 46735 and 46748 and find the biggest common factor number .

Step-1: Prime Factorization of 46735

Prime factors of 46735 are 5, 13, 719. Prime factorization of 46735 in exponential form is:

46735 = 5¹ × 13¹ × 719¹

Step-2: Prime Factorization of 46748

Prime factors of 46748 are 2, 13, 29, 31. Prime factorization of 46748 in exponential form is:

46748 = 2² × 13¹ × 29¹ × 31¹

Step-3: Factors of 46735

List of positive integer factors of 46735 that divides 46735 without a remainder.

1, 5, 13, 65, 719, 3595, 9347

Step-4: Factors of 46748

List of positive integer factors of 46748 that divides 46735 without a remainder.

1, 2, 4, 13, 26, 29, 31, 52, 58, 62, 116, 124, 377, 403, 754, 806, 899, 1508, 1612, 1798, 3596, 11687, 23374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46735 and 46748. The biggest common factor number is the GCF number.
So the greatest common factor 46735 and 46748 is 13.

Also check out the Least Common Multiple of 46735 and 46748