What is the Greatest Common Factor of 29424 and 29441?

Greatest common factor (GCF) of 29424 and 29441 is 1.

GCF(29424,29441) = 1

We will now calculate the prime factors of 29424 and 29441, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29424 and 29441.

How to find the GCF of 29424 and 29441?

We will first find the prime factorization of 29424 and 29441. After we will calculate the factors of 29424 and 29441 and find the biggest common factor number .

Step-1: Prime Factorization of 29424

Prime factors of 29424 are 2, 3, 613. Prime factorization of 29424 in exponential form is:

29424 = 2⁴ × 3¹ × 613¹

Step-2: Prime Factorization of 29441

Prime factors of 29441 are 59, 499. Prime factorization of 29441 in exponential form is:

29441 = 59¹ × 499¹

Step-3: Factors of 29424

List of positive integer factors of 29424 that divides 29424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 613, 1226, 1839, 2452, 3678, 4904, 7356, 9808, 14712

Step-4: Factors of 29441

List of positive integer factors of 29441 that divides 29424 without a remainder.

1, 59, 499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29424 and 29441. The biggest common factor number is the GCF number.
So the greatest common factor 29424 and 29441 is 1.

Also check out the Least Common Multiple of 29424 and 29441