What is the Greatest Common Factor of 29424 and 29431?

Greatest common factor (GCF) of 29424 and 29431 is 1.

GCF(29424,29431) = 1

We will now calculate the prime factors of 29424 and 29431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29424 and 29431.

How to find the GCF of 29424 and 29431?

We will first find the prime factorization of 29424 and 29431. After we will calculate the factors of 29424 and 29431 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 29431

Prime factors of 29431 are 19, 1549. Prime factorization of 29431 in exponential form is:

29431 = 19¹ × 1549¹

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 29431

List of positive integer factors of 29431 that divides 29424 without a remainder.

1, 19, 1549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29424 and 29431. The biggest common factor number is the GCF number.
So the greatest common factor 29424 and 29431 is 1.

Also check out the Least Common Multiple of 29424 and 29431