What is the Greatest Common Factor of 7391 and 7410?

Greatest common factor (GCF) of 7391 and 7410 is 19.

GCF(7391,7410) = 19

We will now calculate the prime factors of 7391 and 7410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7391 and 7410.

How to find the GCF of 7391 and 7410?

We will first find the prime factorization of 7391 and 7410. After we will calculate the factors of 7391 and 7410 and find the biggest common factor number .

Step-1: Prime Factorization of 7391

Prime factors of 7391 are 19, 389. Prime factorization of 7391 in exponential form is:

7391 = 19¹ × 389¹

Step-2: Prime Factorization of 7410

Prime factors of 7410 are 2, 3, 5, 13, 19. Prime factorization of 7410 in exponential form is:

7410 = 2¹ × 3¹ × 5¹ × 13¹ × 19¹

Step-3: Factors of 7391

List of positive integer factors of 7391 that divides 7391 without a remainder.

1, 19, 389

Step-4: Factors of 7410

List of positive integer factors of 7410 that divides 7391 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 19, 26, 30, 38, 39, 57, 65, 78, 95, 114, 130, 190, 195, 247, 285, 390, 494, 570, 741, 1235, 1482, 2470, 3705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7391 and 7410. The biggest common factor number is the GCF number.
So the greatest common factor 7391 and 7410 is 19.

Also check out the Least Common Multiple of 7391 and 7410