What is the Greatest Common Factor of 53888 and 53894?

Greatest common factor (GCF) of 53888 and 53894 is 2.

GCF(53888,53894) = 2

We will now calculate the prime factors of 53888 and 53894, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53888 and 53894.

How to find the GCF of 53888 and 53894?

We will first find the prime factorization of 53888 and 53894. After we will calculate the factors of 53888 and 53894 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 53894

Prime factors of 53894 are 2, 26947. Prime factorization of 53894 in exponential form is:

53894 = 2¹ × 26947¹

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 53894

List of positive integer factors of 53894 that divides 53888 without a remainder.

1, 2, 26947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53888 and 53894. The biggest common factor number is the GCF number.
So the greatest common factor 53888 and 53894 is 2.

Also check out the Least Common Multiple of 53888 and 53894