What is the Greatest Common Factor of 46680 and 46699?

Greatest common factor (GCF) of 46680 and 46699 is 1.

GCF(46680,46699) = 1

We will now calculate the prime factors of 46680 and 46699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46680 and 46699.

How to find the GCF of 46680 and 46699?

We will first find the prime factorization of 46680 and 46699. After we will calculate the factors of 46680 and 46699 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 46699

Prime factors of 46699 are 17, 41, 67. Prime factorization of 46699 in exponential form is:

46699 = 17¹ × 41¹ × 67¹

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 46699

List of positive integer factors of 46699 that divides 46680 without a remainder.

1, 17, 41, 67, 697, 1139, 2747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46680 and 46699. The biggest common factor number is the GCF number.
So the greatest common factor 46680 and 46699 is 1.

Also check out the Least Common Multiple of 46680 and 46699