What is the Greatest Common Factor of 7429 and 7448?

Greatest common factor (GCF) of 7429 and 7448 is 19.

GCF(7429,7448) = 19

We will now calculate the prime factors of 7429 and 7448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7429 and 7448.

How to find the GCF of 7429 and 7448?

We will first find the prime factorization of 7429 and 7448. After we will calculate the factors of 7429 and 7448 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7448

Prime factors of 7448 are 2, 7, 19. Prime factorization of 7448 in exponential form is:

7448 = 2³ × 7² × 19¹

Step-3: Factors of 7429

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

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

Step-4: Factors of 7448

List of positive integer factors of 7448 that divides 7429 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 49, 56, 76, 98, 133, 152, 196, 266, 392, 532, 931, 1064, 1862, 3724

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7429 and 7448. The biggest common factor number is the GCF number.
So the greatest common factor 7429 and 7448 is 19.

Also check out the Least Common Multiple of 7429 and 7448