What is the Greatest Common Factor of 53389 and 53403?

Greatest common factor (GCF) of 53389 and 53403 is 7.

GCF(53389,53403) = 7

We will now calculate the prime factors of 53389 and 53403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53389 and 53403.

How to find the GCF of 53389 and 53403?

We will first find the prime factorization of 53389 and 53403. After we will calculate the factors of 53389 and 53403 and find the biggest common factor number .

Step-1: Prime Factorization of 53389

Prime factors of 53389 are 7, 29, 263. Prime factorization of 53389 in exponential form is:

53389 = 7¹ × 29¹ × 263¹

Step-2: Prime Factorization of 53403

Prime factors of 53403 are 3, 7, 2543. Prime factorization of 53403 in exponential form is:

53403 = 3¹ × 7¹ × 2543¹

Step-3: Factors of 53389

List of positive integer factors of 53389 that divides 53389 without a remainder.

1, 7, 29, 203, 263, 1841, 7627

Step-4: Factors of 53403

List of positive integer factors of 53403 that divides 53389 without a remainder.

1, 3, 7, 21, 2543, 7629, 17801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53389 and 53403. The biggest common factor number is the GCF number.
So the greatest common factor 53389 and 53403 is 7.

Also check out the Least Common Multiple of 53389 and 53403