What is the Greatest Common Factor of 46083 and 46098?

Greatest common factor (GCF) of 46083 and 46098 is 3.

GCF(46083,46098) = 3

We will now calculate the prime factors of 46083 and 46098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46083 and 46098.

How to find the GCF of 46083 and 46098?

We will first find the prime factorization of 46083 and 46098. After we will calculate the factors of 46083 and 46098 and find the biggest common factor number .

Step-1: Prime Factorization of 46083

Prime factors of 46083 are 3, 15361. Prime factorization of 46083 in exponential form is:

46083 = 3¹ × 15361¹

Step-2: Prime Factorization of 46098

Prime factors of 46098 are 2, 3, 13, 197. Prime factorization of 46098 in exponential form is:

46098 = 2¹ × 3² × 13¹ × 197¹

Step-3: Factors of 46083

List of positive integer factors of 46083 that divides 46083 without a remainder.

1, 3, 15361

Step-4: Factors of 46098

List of positive integer factors of 46098 that divides 46083 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 197, 234, 394, 591, 1182, 1773, 2561, 3546, 5122, 7683, 15366, 23049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46083 and 46098. The biggest common factor number is the GCF number.
So the greatest common factor 46083 and 46098 is 3.

Also check out the Least Common Multiple of 46083 and 46098