What is the Greatest Common Factor of 53888 and 53896?

Greatest common factor (GCF) of 53888 and 53896 is 8.

GCF(53888,53896) = 8

We will now calculate the prime factors of 53888 and 53896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53888 and 53896.

How to find the GCF of 53888 and 53896?

We will first find the prime factorization of 53888 and 53896. After we will calculate the factors of 53888 and 53896 and find the biggest common factor number .

Step-1: Prime Factorization of 53888

Prime factors of 53888 are 2, 421. Prime factorization of 53888 in exponential form is:

53888 = 2⁷ × 421¹

Step-2: Prime Factorization of 53896

Prime factors of 53896 are 2, 6737. Prime factorization of 53896 in exponential form is:

53896 = 2³ × 6737¹

Step-3: Factors of 53888

List of positive integer factors of 53888 that divides 53888 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 421, 842, 1684, 3368, 6736, 13472, 26944

Step-4: Factors of 53896

List of positive integer factors of 53896 that divides 53888 without a remainder.

1, 2, 4, 8, 6737, 13474, 26948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53888 and 53896. The biggest common factor number is the GCF number.
So the greatest common factor 53888 and 53896 is 8.

Also check out the Least Common Multiple of 53888 and 53896