What is the Greatest Common Factor of 46849 and 46857?

Greatest common factor (GCF) of 46849 and 46857 is 1.

GCF(46849,46857) = 1

We will now calculate the prime factors of 46849 and 46857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46849 and 46857.

How to find the GCF of 46849 and 46857?

We will first find the prime factorization of 46849 and 46857. After we will calculate the factors of 46849 and 46857 and find the biggest common factor number .

Step-1: Prime Factorization of 46849

Prime factors of 46849 are 11, 4259. Prime factorization of 46849 in exponential form is:

46849 = 11¹ × 4259¹

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 46849

List of positive integer factors of 46849 that divides 46849 without a remainder.

1, 11, 4259

Step-4: Factors of 46857

List of positive integer factors of 46857 that divides 46849 without a remainder.

1, 3, 15619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46849 and 46857. The biggest common factor number is the GCF number.
So the greatest common factor 46849 and 46857 is 1.

Also check out the Least Common Multiple of 46849 and 46857