What is the Greatest Common Factor of 53640 and 53644?

Greatest common factor (GCF) of 53640 and 53644 is 4.

GCF(53640,53644) = 4

We will now calculate the prime factors of 53640 and 53644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53640 and 53644.

How to find the GCF of 53640 and 53644?

We will first find the prime factorization of 53640 and 53644. After we will calculate the factors of 53640 and 53644 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 53644

Prime factors of 53644 are 2, 13411. Prime factorization of 53644 in exponential form is:

53644 = 2² × 13411¹

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 53644

List of positive integer factors of 53644 that divides 53640 without a remainder.

1, 2, 4, 13411, 26822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53640 and 53644. The biggest common factor number is the GCF number.
So the greatest common factor 53640 and 53644 is 4.

Also check out the Least Common Multiple of 53640 and 53644