What is the Greatest Common Factor of 53397 and 53407?

Greatest common factor (GCF) of 53397 and 53407 is 1.

GCF(53397,53407) = 1

We will now calculate the prime factors of 53397 and 53407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53397 and 53407.

How to find the GCF of 53397 and 53407?

We will first find the prime factorization of 53397 and 53407. After we will calculate the factors of 53397 and 53407 and find the biggest common factor number .

Step-1: Prime Factorization of 53397

Prime factors of 53397 are 3, 17, 349. Prime factorization of 53397 in exponential form is:

53397 = 3² × 17¹ × 349¹

Step-2: Prime Factorization of 53407

Prime factors of 53407 are 53407. Prime factorization of 53407 in exponential form is:

53407 = 53407¹

Step-3: Factors of 53397

List of positive integer factors of 53397 that divides 53397 without a remainder.

1, 3, 9, 17, 51, 153, 349, 1047, 3141, 5933, 17799

Step-4: Factors of 53407

List of positive integer factors of 53407 that divides 53397 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53397 and 53407. The biggest common factor number is the GCF number.
So the greatest common factor 53397 and 53407 is 1.

Also check out the Least Common Multiple of 53397 and 53407