What is the Greatest Common Factor of 46680 and 46698?

Greatest common factor (GCF) of 46680 and 46698 is 6.

GCF(46680,46698) = 6

We will now calculate the prime factors of 46680 and 46698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46680 and 46698.

How to find the GCF of 46680 and 46698?

We will first find the prime factorization of 46680 and 46698. After we will calculate the factors of 46680 and 46698 and find the biggest common factor number .

Step-1: Prime Factorization of 46680

Prime factors of 46680 are 2, 3, 5, 389. Prime factorization of 46680 in exponential form is:

46680 = 2³ × 3¹ × 5¹ × 389¹

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 46680

List of positive integer factors of 46680 that divides 46680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 389, 778, 1167, 1556, 1945, 2334, 3112, 3890, 4668, 5835, 7780, 9336, 11670, 15560, 23340

Step-4: Factors of 46698

List of positive integer factors of 46698 that divides 46680 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 46680 and 46698. The biggest common factor number is the GCF number.
So the greatest common factor 46680 and 46698 is 6.

Also check out the Least Common Multiple of 46680 and 46698