What is the Greatest Common Factor of 7074 and 7083?

Greatest common factor (GCF) of 7074 and 7083 is 9.

GCF(7074,7083) = 9

We will now calculate the prime factors of 7074 and 7083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7074 and 7083.

How to find the GCF of 7074 and 7083?

We will first find the prime factorization of 7074 and 7083. After we will calculate the factors of 7074 and 7083 and find the biggest common factor number .

Step-1: Prime Factorization of 7074

Prime factors of 7074 are 2, 3, 131. Prime factorization of 7074 in exponential form is:

7074 = 2¹ × 3³ × 131¹

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 7074

List of positive integer factors of 7074 that divides 7074 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 131, 262, 393, 786, 1179, 2358, 3537

Step-4: Factors of 7083

List of positive integer factors of 7083 that divides 7074 without a remainder.

1, 3, 9, 787, 2361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7074 and 7083. The biggest common factor number is the GCF number.
So the greatest common factor 7074 and 7083 is 9.

Also check out the Least Common Multiple of 7074 and 7083