What is the Greatest Common Factor of 29424 and 29437?

Greatest common factor (GCF) of 29424 and 29437 is 1.

GCF(29424,29437) = 1

We will now calculate the prime factors of 29424 and 29437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29424 and 29437.

How to find the GCF of 29424 and 29437?

We will first find the prime factorization of 29424 and 29437. After we will calculate the factors of 29424 and 29437 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 29437

Prime factors of 29437 are 29437. Prime factorization of 29437 in exponential form is:

29437 = 29437¹

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 29437

List of positive integer factors of 29437 that divides 29424 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29424 and 29437. The biggest common factor number is the GCF number.
So the greatest common factor 29424 and 29437 is 1.

Also check out the Least Common Multiple of 29424 and 29437