What is the Greatest Common Factor of 46886 and 46903?

Greatest common factor (GCF) of 46886 and 46903 is 17.

GCF(46886,46903) = 17

We will now calculate the prime factors of 46886 and 46903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46886 and 46903.

How to find the GCF of 46886 and 46903?

We will first find the prime factorization of 46886 and 46903. After we will calculate the factors of 46886 and 46903 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46903

Prime factors of 46903 are 17, 31, 89. Prime factorization of 46903 in exponential form is:

46903 = 17¹ × 31¹ × 89¹

Step-3: Factors of 46886

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

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

Step-4: Factors of 46903

List of positive integer factors of 46903 that divides 46886 without a remainder.

1, 17, 31, 89, 527, 1513, 2759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46886 and 46903. The biggest common factor number is the GCF number.
So the greatest common factor 46886 and 46903 is 17.

Also check out the Least Common Multiple of 46886 and 46903