What is the Greatest Common Factor of 46849 and 46869?

Greatest common factor (GCF) of 46849 and 46869 is 1.

GCF(46849,46869) = 1

We will now calculate the prime factors of 46849 and 46869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46849 and 46869.

How to find the GCF of 46849 and 46869?

We will first find the prime factorization of 46849 and 46869. After we will calculate the factors of 46849 and 46869 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 46869

Prime factors of 46869 are 3, 17, 919. Prime factorization of 46869 in exponential form is:

46869 = 3¹ × 17¹ × 919¹

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 46869

List of positive integer factors of 46869 that divides 46849 without a remainder.

1, 3, 17, 51, 919, 2757, 15623

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46849 and 46869. The biggest common factor number is the GCF number.
So the greatest common factor 46849 and 46869 is 1.

Also check out the Least Common Multiple of 46849 and 46869