What is the Greatest Common Factor of 56664 and 56668?

Greatest common factor (GCF) of 56664 and 56668 is 4.

GCF(56664,56668) = 4

We will now calculate the prime factors of 56664 and 56668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56664 and 56668.

How to find the GCF of 56664 and 56668?

We will first find the prime factorization of 56664 and 56668. After we will calculate the factors of 56664 and 56668 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 56668

Prime factors of 56668 are 2, 31, 457. Prime factorization of 56668 in exponential form is:

56668 = 2² × 31¹ × 457¹

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 56668

List of positive integer factors of 56668 that divides 56664 without a remainder.

1, 2, 4, 31, 62, 124, 457, 914, 1828, 14167, 28334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56664 and 56668. The biggest common factor number is the GCF number.
So the greatest common factor 56664 and 56668 is 4.

Also check out the Least Common Multiple of 56664 and 56668