What is the Greatest Common Factor of 53640 and 53648?

Greatest common factor (GCF) of 53640 and 53648 is 8.

GCF(53640,53648) = 8

We will now calculate the prime factors of 53640 and 53648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53640 and 53648.

How to find the GCF of 53640 and 53648?

We will first find the prime factorization of 53640 and 53648. After we will calculate the factors of 53640 and 53648 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 53648

Prime factors of 53648 are 2, 7, 479. Prime factorization of 53648 in exponential form is:

53648 = 2⁴ × 7¹ × 479¹

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 53648

List of positive integer factors of 53648 that divides 53640 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 479, 958, 1916, 3353, 3832, 6706, 7664, 13412, 26824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53640 and 53648. The biggest common factor number is the GCF number.
So the greatest common factor 53640 and 53648 is 8.

Also check out the Least Common Multiple of 53640 and 53648