What is the Greatest Common Factor of 46680 and 46688?

Greatest common factor (GCF) of 46680 and 46688 is 8.

GCF(46680,46688) = 8

We will now calculate the prime factors of 46680 and 46688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46680 and 46688.

How to find the GCF of 46680 and 46688?

We will first find the prime factorization of 46680 and 46688. After we will calculate the factors of 46680 and 46688 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 46688

Prime factors of 46688 are 2, 1459. Prime factorization of 46688 in exponential form is:

46688 = 2⁵ × 1459¹

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 46688

List of positive integer factors of 46688 that divides 46680 without a remainder.

1, 2, 4, 8, 16, 32, 1459, 2918, 5836, 11672, 23344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46680 and 46688. The biggest common factor number is the GCF number.
So the greatest common factor 46680 and 46688 is 8.

Also check out the Least Common Multiple of 46680 and 46688