What is the Greatest Common Factor of 29874 and 29879?

Greatest common factor (GCF) of 29874 and 29879 is 1.

GCF(29874,29879) = 1

We will now calculate the prime factors of 29874 and 29879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29874 and 29879.

How to find the GCF of 29874 and 29879?

We will first find the prime factorization of 29874 and 29879. After we will calculate the factors of 29874 and 29879 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 29879

Prime factors of 29879 are 29879. Prime factorization of 29879 in exponential form is:

29879 = 29879¹

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 29879

List of positive integer factors of 29879 that divides 29874 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29874 and 29879. The biggest common factor number is the GCF number.
So the greatest common factor 29874 and 29879 is 1.

Also check out the Least Common Multiple of 29874 and 29879