What is the Greatest Common Factor of 46788 and 46802?

Greatest common factor (GCF) of 46788 and 46802 is 14.

GCF(46788,46802) = 14

We will now calculate the prime factors of 46788 and 46802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46788 and 46802.

How to find the GCF of 46788 and 46802?

We will first find the prime factorization of 46788 and 46802. After we will calculate the factors of 46788 and 46802 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 46802

Prime factors of 46802 are 2, 7, 3343. Prime factorization of 46802 in exponential form is:

46802 = 2¹ × 7¹ × 3343¹

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 46802

List of positive integer factors of 46802 that divides 46788 without a remainder.

1, 2, 7, 14, 3343, 6686, 23401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46788 and 46802. The biggest common factor number is the GCF number.
So the greatest common factor 46788 and 46802 is 14.

Also check out the Least Common Multiple of 46788 and 46802