What is the Greatest Common Factor of 7294 and 7301?

Greatest common factor (GCF) of 7294 and 7301 is 7.

GCF(7294,7301) = 7

We will now calculate the prime factors of 7294 and 7301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7294 and 7301.

How to find the GCF of 7294 and 7301?

We will first find the prime factorization of 7294 and 7301. After we will calculate the factors of 7294 and 7301 and find the biggest common factor number .

Step-1: Prime Factorization of 7294

Prime factors of 7294 are 2, 7, 521. Prime factorization of 7294 in exponential form is:

7294 = 2¹ × 7¹ × 521¹

Step-2: Prime Factorization of 7301

Prime factors of 7301 are 7, 149. Prime factorization of 7301 in exponential form is:

7301 = 7² × 149¹

Step-3: Factors of 7294

List of positive integer factors of 7294 that divides 7294 without a remainder.

1, 2, 7, 14, 521, 1042, 3647

Step-4: Factors of 7301

List of positive integer factors of 7301 that divides 7294 without a remainder.

1, 7, 49, 149, 1043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7294 and 7301. The biggest common factor number is the GCF number.
So the greatest common factor 7294 and 7301 is 7.

Also check out the Least Common Multiple of 7294 and 7301