What is the Greatest Common Factor of 29874 and 29886?

Greatest common factor (GCF) of 29874 and 29886 is 6.

GCF(29874,29886) = 6

We will now calculate the prime factors of 29874 and 29886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29874 and 29886.

How to find the GCF of 29874 and 29886?

We will first find the prime factorization of 29874 and 29886. After we will calculate the factors of 29874 and 29886 and find the biggest common factor number .

Step-1: Prime Factorization of 29874

Prime factors of 29874 are 2, 3, 13, 383. Prime factorization of 29874 in exponential form is:

29874 = 2¹ × 3¹ × 13¹ × 383¹

Step-2: Prime Factorization of 29886

Prime factors of 29886 are 2, 3, 17, 293. Prime factorization of 29886 in exponential form is:

29886 = 2¹ × 3¹ × 17¹ × 293¹

Step-3: Factors of 29874

List of positive integer factors of 29874 that divides 29874 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 383, 766, 1149, 2298, 4979, 9958, 14937

Step-4: Factors of 29886

List of positive integer factors of 29886 that divides 29874 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 293, 586, 879, 1758, 4981, 9962, 14943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29874 and 29886. The biggest common factor number is the GCF number.
So the greatest common factor 29874 and 29886 is 6.

Also check out the Least Common Multiple of 29874 and 29886