What is the Greatest Common Factor of 65397 and 65403?

Greatest common factor (GCF) of 65397 and 65403 is 3.

GCF(65397,65403) = 3

We will now calculate the prime factors of 65397 and 65403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65397 and 65403.

How to find the GCF of 65397 and 65403?

We will first find the prime factorization of 65397 and 65403. After we will calculate the factors of 65397 and 65403 and find the biggest common factor number .

Step-1: Prime Factorization of 65397

Prime factors of 65397 are 3, 21799. Prime factorization of 65397 in exponential form is:

65397 = 3¹ × 21799¹

Step-2: Prime Factorization of 65403

Prime factors of 65403 are 3, 13, 43. Prime factorization of 65403 in exponential form is:

65403 = 3² × 13² × 43¹

Step-3: Factors of 65397

List of positive integer factors of 65397 that divides 65397 without a remainder.

1, 3, 21799

Step-4: Factors of 65403

List of positive integer factors of 65403 that divides 65397 without a remainder.

1, 3, 9, 13, 39, 43, 117, 129, 169, 387, 507, 559, 1521, 1677, 5031, 7267, 21801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65397 and 65403. The biggest common factor number is the GCF number.
So the greatest common factor 65397 and 65403 is 3.

Also check out the Least Common Multiple of 65397 and 65403