What is the Greatest Common Factor of 53648 and 53655?

Greatest common factor (GCF) of 53648 and 53655 is 7.

GCF(53648,53655) = 7

We will now calculate the prime factors of 53648 and 53655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53648 and 53655.

How to find the GCF of 53648 and 53655?

We will first find the prime factorization of 53648 and 53655. After we will calculate the factors of 53648 and 53655 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53655

Prime factors of 53655 are 3, 5, 7, 73. Prime factorization of 53655 in exponential form is:

53655 = 3¹ × 5¹ × 7² × 73¹

Step-3: Factors of 53648

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

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

Step-4: Factors of 53655

List of positive integer factors of 53655 that divides 53648 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 73, 105, 147, 219, 245, 365, 511, 735, 1095, 1533, 2555, 3577, 7665, 10731, 17885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53648 and 53655. The biggest common factor number is the GCF number.
So the greatest common factor 53648 and 53655 is 7.

Also check out the Least Common Multiple of 53648 and 53655