What is the Greatest Common Factor of 53097 and 53103?

Greatest common factor (GCF) of 53097 and 53103 is 3.

GCF(53097,53103) = 3

We will now calculate the prime factors of 53097 and 53103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53097 and 53103.

How to find the GCF of 53097 and 53103?

We will first find the prime factorization of 53097 and 53103. After we will calculate the factors of 53097 and 53103 and find the biggest common factor number .

Step-1: Prime Factorization of 53097

Prime factors of 53097 are 3, 11, 1609. Prime factorization of 53097 in exponential form is:

53097 = 3¹ × 11¹ × 1609¹

Step-2: Prime Factorization of 53103

Prime factors of 53103 are 3, 31, 571. Prime factorization of 53103 in exponential form is:

53103 = 3¹ × 31¹ × 571¹

Step-3: Factors of 53097

List of positive integer factors of 53097 that divides 53097 without a remainder.

1, 3, 11, 33, 1609, 4827, 17699

Step-4: Factors of 53103

List of positive integer factors of 53103 that divides 53097 without a remainder.

1, 3, 31, 93, 571, 1713, 17701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53097 and 53103. The biggest common factor number is the GCF number.
So the greatest common factor 53097 and 53103 is 3.

Also check out the Least Common Multiple of 53097 and 53103