What is the Greatest Common Factor of 7065 and 7083?

Greatest common factor (GCF) of 7065 and 7083 is 9.

GCF(7065,7083) = 9

We will now calculate the prime factors of 7065 and 7083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7065 and 7083.

How to find the GCF of 7065 and 7083?

We will first find the prime factorization of 7065 and 7083. After we will calculate the factors of 7065 and 7083 and find the biggest common factor number .

Step-1: Prime Factorization of 7065

Prime factors of 7065 are 3, 5, 157. Prime factorization of 7065 in exponential form is:

7065 = 3² × 5¹ × 157¹

Step-2: Prime Factorization of 7083

Prime factors of 7083 are 3, 787. Prime factorization of 7083 in exponential form is:

7083 = 3² × 787¹

Step-3: Factors of 7065

List of positive integer factors of 7065 that divides 7065 without a remainder.

1, 3, 5, 9, 15, 45, 157, 471, 785, 1413, 2355

Step-4: Factors of 7083

List of positive integer factors of 7083 that divides 7065 without a remainder.

1, 3, 9, 787, 2361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7065 and 7083. The biggest common factor number is the GCF number.
So the greatest common factor 7065 and 7083 is 9.

Also check out the Least Common Multiple of 7065 and 7083