What is the Greatest Common Factor of 29566 and 29574?

Greatest common factor (GCF) of 29566 and 29574 is 2.

GCF(29566,29574) = 2

We will now calculate the prime factors of 29566 and 29574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29566 and 29574.

How to find the GCF of 29566 and 29574?

We will first find the prime factorization of 29566 and 29574. After we will calculate the factors of 29566 and 29574 and find the biggest common factor number .

Step-1: Prime Factorization of 29566

Prime factors of 29566 are 2, 14783. Prime factorization of 29566 in exponential form is:

29566 = 2¹ × 14783¹

Step-2: Prime Factorization of 29574

Prime factors of 29574 are 2, 3, 31, 53. Prime factorization of 29574 in exponential form is:

29574 = 2¹ × 3² × 31¹ × 53¹

Step-3: Factors of 29566

List of positive integer factors of 29566 that divides 29566 without a remainder.

1, 2, 14783

Step-4: Factors of 29574

List of positive integer factors of 29574 that divides 29566 without a remainder.

1, 2, 3, 6, 9, 18, 31, 53, 62, 93, 106, 159, 186, 279, 318, 477, 558, 954, 1643, 3286, 4929, 9858, 14787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29566 and 29574. The biggest common factor number is the GCF number.
So the greatest common factor 29566 and 29574 is 2.

Also check out the Least Common Multiple of 29566 and 29574