What is the Greatest Common Factor of 46838 and 46849?

Greatest common factor (GCF) of 46838 and 46849 is 11.

GCF(46838,46849) = 11

We will now calculate the prime factors of 46838 and 46849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46838 and 46849.

How to find the GCF of 46838 and 46849?

We will first find the prime factorization of 46838 and 46849. After we will calculate the factors of 46838 and 46849 and find the biggest common factor number .

Step-1: Prime Factorization of 46838

Prime factors of 46838 are 2, 11, 2129. Prime factorization of 46838 in exponential form is:

46838 = 2¹ × 11¹ × 2129¹

Step-2: Prime Factorization of 46849

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

46849 = 11¹ × 4259¹

Step-3: Factors of 46838

List of positive integer factors of 46838 that divides 46838 without a remainder.

1, 2, 11, 22, 2129, 4258, 23419

Step-4: Factors of 46849

List of positive integer factors of 46849 that divides 46838 without a remainder.

1, 11, 4259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46838 and 46849. The biggest common factor number is the GCF number.
So the greatest common factor 46838 and 46849 is 11.

Also check out the Least Common Multiple of 46838 and 46849