What is the Greatest Common Factor of 46788 and 46798?

Greatest common factor (GCF) of 46788 and 46798 is 2.

GCF(46788,46798) = 2

We will now calculate the prime factors of 46788 and 46798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46788 and 46798.

How to find the GCF of 46788 and 46798?

We will first find the prime factorization of 46788 and 46798. After we will calculate the factors of 46788 and 46798 and find the biggest common factor number .

Step-1: Prime Factorization of 46788

Prime factors of 46788 are 2, 3, 7, 557. Prime factorization of 46788 in exponential form is:

46788 = 2² × 3¹ × 7¹ × 557¹

Step-2: Prime Factorization of 46798

Prime factors of 46798 are 2, 23399. Prime factorization of 46798 in exponential form is:

46798 = 2¹ × 23399¹

Step-3: Factors of 46788

List of positive integer factors of 46788 that divides 46788 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 557, 1114, 1671, 2228, 3342, 3899, 6684, 7798, 11697, 15596, 23394

Step-4: Factors of 46798

List of positive integer factors of 46798 that divides 46788 without a remainder.

1, 2, 23399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46788 and 46798. The biggest common factor number is the GCF number.
So the greatest common factor 46788 and 46798 is 2.

Also check out the Least Common Multiple of 46788 and 46798