What is the Greatest Common Factor of 53640 and 53656?

Greatest common factor (GCF) of 53640 and 53656 is 8.

GCF(53640,53656) = 8

We will now calculate the prime factors of 53640 and 53656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53640 and 53656.

How to find the GCF of 53640 and 53656?

We will first find the prime factorization of 53640 and 53656. After we will calculate the factors of 53640 and 53656 and find the biggest common factor number .

Step-1: Prime Factorization of 53640

Prime factors of 53640 are 2, 3, 5, 149. Prime factorization of 53640 in exponential form is:

53640 = 2³ × 3² × 5¹ × 149¹

Step-2: Prime Factorization of 53656

Prime factors of 53656 are 2, 19, 353. Prime factorization of 53656 in exponential form is:

53656 = 2³ × 19¹ × 353¹

Step-3: Factors of 53640

List of positive integer factors of 53640 that divides 53640 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 149, 180, 298, 360, 447, 596, 745, 894, 1192, 1341, 1490, 1788, 2235, 2682, 2980, 3576, 4470, 5364, 5960, 6705, 8940, 10728, 13410, 17880, 26820

Step-4: Factors of 53656

List of positive integer factors of 53656 that divides 53640 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 353, 706, 1412, 2824, 6707, 13414, 26828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53640 and 53656. The biggest common factor number is the GCF number.
So the greatest common factor 53640 and 53656 is 8.

Also check out the Least Common Multiple of 53640 and 53656