What is the Greatest Common Factor of 29874 and 29893?

Greatest common factor (GCF) of 29874 and 29893 is 1.

GCF(29874,29893) = 1

We will now calculate the prime factors of 29874 and 29893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29874 and 29893.

How to find the GCF of 29874 and 29893?

We will first find the prime factorization of 29874 and 29893. After we will calculate the factors of 29874 and 29893 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 29893

Prime factors of 29893 are 167, 179. Prime factorization of 29893 in exponential form is:

29893 = 167¹ × 179¹

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 29893

List of positive integer factors of 29893 that divides 29874 without a remainder.

1, 167, 179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29874 and 29893. The biggest common factor number is the GCF number.
So the greatest common factor 29874 and 29893 is 1.

Also check out the Least Common Multiple of 29874 and 29893