What is the Greatest Common Factor of 65073 and 65079?

Greatest common factor (GCF) of 65073 and 65079 is 3.

GCF(65073,65079) = 3

We will now calculate the prime factors of 65073 and 65079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65073 and 65079.

How to find the GCF of 65073 and 65079?

We will first find the prime factorization of 65073 and 65079. After we will calculate the factors of 65073 and 65079 and find the biggest common factor number .

Step-1: Prime Factorization of 65073

Prime factors of 65073 are 3, 109, 199. Prime factorization of 65073 in exponential form is:

65073 = 3¹ × 109¹ × 199¹

Step-2: Prime Factorization of 65079

Prime factors of 65079 are 3, 7, 1033. Prime factorization of 65079 in exponential form is:

65079 = 3² × 7¹ × 1033¹

Step-3: Factors of 65073

List of positive integer factors of 65073 that divides 65073 without a remainder.

1, 3, 109, 199, 327, 597, 21691

Step-4: Factors of 65079

List of positive integer factors of 65079 that divides 65073 without a remainder.

1, 3, 7, 9, 21, 63, 1033, 3099, 7231, 9297, 21693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65073 and 65079. The biggest common factor number is the GCF number.
So the greatest common factor 65073 and 65079 is 3.

Also check out the Least Common Multiple of 65073 and 65079