What is the Greatest Common Factor of 46869 and 46886?

Greatest common factor (GCF) of 46869 and 46886 is 17.

GCF(46869,46886) = 17

We will now calculate the prime factors of 46869 and 46886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46869 and 46886.

How to find the GCF of 46869 and 46886?

We will first find the prime factorization of 46869 and 46886. After we will calculate the factors of 46869 and 46886 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46886

Prime factors of 46886 are 2, 7, 17, 197. Prime factorization of 46886 in exponential form is:

46886 = 2¹ × 7¹ × 17¹ × 197¹

Step-3: Factors of 46869

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

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

Step-4: Factors of 46886

List of positive integer factors of 46886 that divides 46869 without a remainder.

1, 2, 7, 14, 17, 34, 119, 197, 238, 394, 1379, 2758, 3349, 6698, 23443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46869 and 46886. The biggest common factor number is the GCF number.
So the greatest common factor 46869 and 46886 is 17.

Also check out the Least Common Multiple of 46869 and 46886