What is the Greatest Common Factor of 46842 and 46857?

Greatest common factor (GCF) of 46842 and 46857 is 3.

GCF(46842,46857) = 3

We will now calculate the prime factors of 46842 and 46857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46842 and 46857.

How to find the GCF of 46842 and 46857?

We will first find the prime factorization of 46842 and 46857. After we will calculate the factors of 46842 and 46857 and find the biggest common factor number .

Step-1: Prime Factorization of 46842

Prime factors of 46842 are 2, 3, 37, 211. Prime factorization of 46842 in exponential form is:

46842 = 2¹ × 3¹ × 37¹ × 211¹

Step-2: Prime Factorization of 46857

Prime factors of 46857 are 3, 15619. Prime factorization of 46857 in exponential form is:

46857 = 3¹ × 15619¹

Step-3: Factors of 46842

List of positive integer factors of 46842 that divides 46842 without a remainder.

1, 2, 3, 6, 37, 74, 111, 211, 222, 422, 633, 1266, 7807, 15614, 23421

Step-4: Factors of 46857

List of positive integer factors of 46857 that divides 46842 without a remainder.

1, 3, 15619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46842 and 46857. The biggest common factor number is the GCF number.
So the greatest common factor 46842 and 46857 is 3.

Also check out the Least Common Multiple of 46842 and 46857