What is the Greatest Common Factor of 46887 and 46902?

Greatest common factor (GCF) of 46887 and 46902 is 3.

GCF(46887,46902) = 3

We will now calculate the prime factors of 46887 and 46902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46887 and 46902.

How to find the GCF of 46887 and 46902?

We will first find the prime factorization of 46887 and 46902. After we will calculate the factors of 46887 and 46902 and find the biggest common factor number .

Step-1: Prime Factorization of 46887

Prime factors of 46887 are 3, 15629. Prime factorization of 46887 in exponential form is:

46887 = 3¹ × 15629¹

Step-2: Prime Factorization of 46902

Prime factors of 46902 are 2, 3, 7817. Prime factorization of 46902 in exponential form is:

46902 = 2¹ × 3¹ × 7817¹

Step-3: Factors of 46887

List of positive integer factors of 46887 that divides 46887 without a remainder.

1, 3, 15629

Step-4: Factors of 46902

List of positive integer factors of 46902 that divides 46887 without a remainder.

1, 2, 3, 6, 7817, 15634, 23451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46887 and 46902. The biggest common factor number is the GCF number.
So the greatest common factor 46887 and 46902 is 3.

Also check out the Least Common Multiple of 46887 and 46902