What is the Greatest Common Factor of 29435 and 29449?

Greatest common factor (GCF) of 29435 and 29449 is 7.

GCF(29435,29449) = 7

We will now calculate the prime factors of 29435 and 29449, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29435 and 29449.

How to find the GCF of 29435 and 29449?

We will first find the prime factorization of 29435 and 29449. After we will calculate the factors of 29435 and 29449 and find the biggest common factor number .

Step-1: Prime Factorization of 29435

Prime factors of 29435 are 5, 7, 29. Prime factorization of 29435 in exponential form is:

29435 = 5¹ × 7¹ × 29²

Step-2: Prime Factorization of 29449

Prime factors of 29449 are 7, 601. Prime factorization of 29449 in exponential form is:

29449 = 7² × 601¹

Step-3: Factors of 29435

List of positive integer factors of 29435 that divides 29435 without a remainder.

1, 5, 7, 29, 35, 145, 203, 841, 1015, 4205, 5887

Step-4: Factors of 29449

List of positive integer factors of 29449 that divides 29435 without a remainder.

1, 7, 49, 601, 4207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29435 and 29449. The biggest common factor number is the GCF number.
So the greatest common factor 29435 and 29449 is 7.

Also check out the Least Common Multiple of 29435 and 29449