What is the Greatest Common Factor of 46722 and 46735?

Greatest common factor (GCF) of 46722 and 46735 is 13.

GCF(46722,46735) = 13

We will now calculate the prime factors of 46722 and 46735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46722 and 46735.

How to find the GCF of 46722 and 46735?

We will first find the prime factorization of 46722 and 46735. After we will calculate the factors of 46722 and 46735 and find the biggest common factor number .

Step-1: Prime Factorization of 46722

Prime factors of 46722 are 2, 3, 13, 599. Prime factorization of 46722 in exponential form is:

46722 = 2¹ × 3¹ × 13¹ × 599¹

Step-2: 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-3: Factors of 46722

List of positive integer factors of 46722 that divides 46722 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 599, 1198, 1797, 3594, 7787, 15574, 23361

Step-4: Factors of 46735

List of positive integer factors of 46735 that divides 46722 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46722 and 46735. The biggest common factor number is the GCF number.
So the greatest common factor 46722 and 46735 is 13.

Also check out the Least Common Multiple of 46722 and 46735