What is the Greatest Common Factor of 46986 and 46998?

Greatest common factor (GCF) of 46986 and 46998 is 6.

GCF(46986,46998) = 6

We will now calculate the prime factors of 46986 and 46998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46986 and 46998.

How to find the GCF of 46986 and 46998?

We will first find the prime factorization of 46986 and 46998. After we will calculate the factors of 46986 and 46998 and find the biggest common factor number .

Step-1: Prime Factorization of 46986

Prime factors of 46986 are 2, 3, 41, 191. Prime factorization of 46986 in exponential form is:

46986 = 2¹ × 3¹ × 41¹ × 191¹

Step-2: Prime Factorization of 46998

Prime factors of 46998 are 2, 3, 7, 373. Prime factorization of 46998 in exponential form is:

46998 = 2¹ × 3² × 7¹ × 373¹

Step-3: Factors of 46986

List of positive integer factors of 46986 that divides 46986 without a remainder.

1, 2, 3, 6, 41, 82, 123, 191, 246, 382, 573, 1146, 7831, 15662, 23493

Step-4: Factors of 46998

List of positive integer factors of 46998 that divides 46986 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 373, 746, 1119, 2238, 2611, 3357, 5222, 6714, 7833, 15666, 23499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46986 and 46998. The biggest common factor number is the GCF number.
So the greatest common factor 46986 and 46998 is 6.

Also check out the Least Common Multiple of 46986 and 46998