What is the Greatest Common Factor of 46680 and 46687?

Greatest common factor (GCF) of 46680 and 46687 is 1.

GCF(46680,46687) = 1

We will now calculate the prime factors of 46680 and 46687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46680 and 46687.

How to find the GCF of 46680 and 46687?

We will first find the prime factorization of 46680 and 46687. After we will calculate the factors of 46680 and 46687 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 46687

Prime factors of 46687 are 46687. Prime factorization of 46687 in exponential form is:

46687 = 46687¹

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 46687

List of positive integer factors of 46687 that divides 46680 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46680 and 46687. The biggest common factor number is the GCF number.
So the greatest common factor 46680 and 46687 is 1.

Also check out the Least Common Multiple of 46680 and 46687