What is the Greatest Common Factor of 7290 and 7298?

Greatest common factor (GCF) of 7290 and 7298 is 2.

GCF(7290,7298) = 2

We will now calculate the prime factors of 7290 and 7298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7290 and 7298.

How to find the GCF of 7290 and 7298?

We will first find the prime factorization of 7290 and 7298. After we will calculate the factors of 7290 and 7298 and find the biggest common factor number .

Step-1: Prime Factorization of 7290

Prime factors of 7290 are 2, 3, 5. Prime factorization of 7290 in exponential form is:

7290 = 2¹ × 3⁶ × 5¹

Step-2: Prime Factorization of 7298

Prime factors of 7298 are 2, 41, 89. Prime factorization of 7298 in exponential form is:

7298 = 2¹ × 41¹ × 89¹

Step-3: Factors of 7290

List of positive integer factors of 7290 that divides 7290 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 729, 810, 1215, 1458, 2430, 3645

Step-4: Factors of 7298

List of positive integer factors of 7298 that divides 7290 without a remainder.

1, 2, 41, 82, 89, 178, 3649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7290 and 7298. The biggest common factor number is the GCF number.
So the greatest common factor 7290 and 7298 is 2.

Also check out the Least Common Multiple of 7290 and 7298