What is the Greatest Common Factor of 7410 and 7429?

Greatest common factor (GCF) of 7410 and 7429 is 19.

GCF(7410,7429) = 19

We will now calculate the prime factors of 7410 and 7429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7410 and 7429.

How to find the GCF of 7410 and 7429?

We will first find the prime factorization of 7410 and 7429. After we will calculate the factors of 7410 and 7429 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7429

Prime factors of 7429 are 17, 19, 23. Prime factorization of 7429 in exponential form is:

7429 = 17¹ × 19¹ × 23¹

Step-3: Factors of 7410

List of positive integer factors of 7410 that divides 7410 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

Step-4: Factors of 7429

List of positive integer factors of 7429 that divides 7410 without a remainder.

1, 17, 19, 23, 323, 391, 437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7410 and 7429. The biggest common factor number is the GCF number.
So the greatest common factor 7410 and 7429 is 19.

Also check out the Least Common Multiple of 7410 and 7429