What is the Greatest Common Factor of 29574 and 29592?

Greatest common factor (GCF) of 29574 and 29592 is 18.

GCF(29574,29592) = 18

We will now calculate the prime factors of 29574 and 29592, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29574 and 29592.

How to find the GCF of 29574 and 29592?

We will first find the prime factorization of 29574 and 29592. After we will calculate the factors of 29574 and 29592 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 29592

Prime factors of 29592 are 2, 3, 137. Prime factorization of 29592 in exponential form is:

29592 = 2³ × 3³ × 137¹

Step-3: Factors of 29574

List of positive integer factors of 29574 that divides 29574 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

Step-4: Factors of 29592

List of positive integer factors of 29592 that divides 29574 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 137, 216, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 3699, 4932, 7398, 9864, 14796

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29574 and 29592. The biggest common factor number is the GCF number.
So the greatest common factor 29574 and 29592 is 18.

Also check out the Least Common Multiple of 29574 and 29592