What is the Greatest Common Factor of 53264 and 53281?

Greatest common factor (GCF) of 53264 and 53281 is 1.

GCF(53264,53281) = 1

We will now calculate the prime factors of 53264 and 53281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53264 and 53281.

How to find the GCF of 53264 and 53281?

We will first find the prime factorization of 53264 and 53281. After we will calculate the factors of 53264 and 53281 and find the biggest common factor number .

Step-1: Prime Factorization of 53264

Prime factors of 53264 are 2, 3329. Prime factorization of 53264 in exponential form is:

53264 = 2⁴ × 3329¹

Step-2: Prime Factorization of 53281

Prime factors of 53281 are 53281. Prime factorization of 53281 in exponential form is:

53281 = 53281¹

Step-3: Factors of 53264

List of positive integer factors of 53264 that divides 53264 without a remainder.

1, 2, 4, 8, 16, 3329, 6658, 13316, 26632

Step-4: Factors of 53281

List of positive integer factors of 53281 that divides 53264 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53264 and 53281. The biggest common factor number is the GCF number.
So the greatest common factor 53264 and 53281 is 1.

Also check out the Least Common Multiple of 53264 and 53281