What is the Greatest Common Factor of 56655 and 56664?

Greatest common factor (GCF) of 56655 and 56664 is 9.

GCF(56655,56664) = 9

We will now calculate the prime factors of 56655 and 56664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56655 and 56664.

How to find the GCF of 56655 and 56664?

We will first find the prime factorization of 56655 and 56664. After we will calculate the factors of 56655 and 56664 and find the biggest common factor number .

Step-1: Prime Factorization of 56655

Prime factors of 56655 are 3, 5, 1259. Prime factorization of 56655 in exponential form is:

56655 = 3² × 5¹ × 1259¹

Step-2: Prime Factorization of 56664

Prime factors of 56664 are 2, 3, 787. Prime factorization of 56664 in exponential form is:

56664 = 2³ × 3² × 787¹

Step-3: Factors of 56655

List of positive integer factors of 56655 that divides 56655 without a remainder.

1, 3, 5, 9, 15, 45, 1259, 3777, 6295, 11331, 18885

Step-4: Factors of 56664

List of positive integer factors of 56664 that divides 56655 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 787, 1574, 2361, 3148, 4722, 6296, 7083, 9444, 14166, 18888, 28332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56655 and 56664. The biggest common factor number is the GCF number.
So the greatest common factor 56655 and 56664 is 9.

Also check out the Least Common Multiple of 56655 and 56664