What is the Greatest Common Factor of 53296 and 53305?

Greatest common factor (GCF) of 53296 and 53305 is 1.

GCF(53296,53305) = 1

We will now calculate the prime factors of 53296 and 53305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53296 and 53305.

How to find the GCF of 53296 and 53305?

We will first find the prime factorization of 53296 and 53305. After we will calculate the factors of 53296 and 53305 and find the biggest common factor number .

Step-1: Prime Factorization of 53296

Prime factors of 53296 are 2, 3331. Prime factorization of 53296 in exponential form is:

53296 = 2⁴ × 3331¹

Step-2: Prime Factorization of 53305

Prime factors of 53305 are 5, 7, 1523. Prime factorization of 53305 in exponential form is:

53305 = 5¹ × 7¹ × 1523¹

Step-3: Factors of 53296

List of positive integer factors of 53296 that divides 53296 without a remainder.

1, 2, 4, 8, 16, 3331, 6662, 13324, 26648

Step-4: Factors of 53305

List of positive integer factors of 53305 that divides 53296 without a remainder.

1, 5, 7, 35, 1523, 7615, 10661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53296 and 53305. The biggest common factor number is the GCF number.
So the greatest common factor 53296 and 53305 is 1.

Also check out the Least Common Multiple of 53296 and 53305