What is the Greatest Common Factor of 46692 and 46698?

Greatest common factor (GCF) of 46692 and 46698 is 6.

GCF(46692,46698) = 6

We will now calculate the prime factors of 46692 and 46698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46692 and 46698.

How to find the GCF of 46692 and 46698?

We will first find the prime factorization of 46692 and 46698. After we will calculate the factors of 46692 and 46698 and find the biggest common factor number .

Step-1: Prime Factorization of 46692

Prime factors of 46692 are 2, 3, 1297. Prime factorization of 46692 in exponential form is:

46692 = 2² × 3² × 1297¹

Step-2: Prime Factorization of 46698

Prime factors of 46698 are 2, 3, 43, 181. Prime factorization of 46698 in exponential form is:

46698 = 2¹ × 3¹ × 43¹ × 181¹

Step-3: Factors of 46692

List of positive integer factors of 46692 that divides 46692 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1297, 2594, 3891, 5188, 7782, 11673, 15564, 23346

Step-4: Factors of 46698

List of positive integer factors of 46698 that divides 46692 without a remainder.

1, 2, 3, 6, 43, 86, 129, 181, 258, 362, 543, 1086, 7783, 15566, 23349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46692 and 46698. The biggest common factor number is the GCF number.
So the greatest common factor 46692 and 46698 is 6.

Also check out the Least Common Multiple of 46692 and 46698