What is the Greatest Common Factor of 56664 and 56669?

Greatest common factor (GCF) of 56664 and 56669 is 1.

GCF(56664,56669) = 1

We will now calculate the prime factors of 56664 and 56669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56664 and 56669.

How to find the GCF of 56664 and 56669?

We will first find the prime factorization of 56664 and 56669. After we will calculate the factors of 56664 and 56669 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56669

Prime factors of 56669 are 61, 929. Prime factorization of 56669 in exponential form is:

56669 = 61¹ × 929¹

Step-3: Factors of 56664

List of positive integer factors of 56664 that divides 56664 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

Step-4: Factors of 56669

List of positive integer factors of 56669 that divides 56664 without a remainder.

1, 61, 929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56664 and 56669. The biggest common factor number is the GCF number.
So the greatest common factor 56664 and 56669 is 1.

Also check out the Least Common Multiple of 56664 and 56669