What is the Greatest Common Factor of 53874 and 53888?

Greatest common factor (GCF) of 53874 and 53888 is 2.

GCF(53874,53888) = 2

We will now calculate the prime factors of 53874 and 53888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53874 and 53888.

How to find the GCF of 53874 and 53888?

We will first find the prime factorization of 53874 and 53888. After we will calculate the factors of 53874 and 53888 and find the biggest common factor number .

Step-1: Prime Factorization of 53874

Prime factors of 53874 are 2, 3, 41, 73. Prime factorization of 53874 in exponential form is:

53874 = 2¹ × 3² × 41¹ × 73¹

Step-2: Prime Factorization of 53888

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

53888 = 2⁷ × 421¹

Step-3: Factors of 53874

List of positive integer factors of 53874 that divides 53874 without a remainder.

1, 2, 3, 6, 9, 18, 41, 73, 82, 123, 146, 219, 246, 369, 438, 657, 738, 1314, 2993, 5986, 8979, 17958, 26937

Step-4: Factors of 53888

List of positive integer factors of 53888 that divides 53874 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53874 and 53888. The biggest common factor number is the GCF number.
So the greatest common factor 53874 and 53888 is 2.

Also check out the Least Common Multiple of 53874 and 53888