What is the Greatest Common Factor of 29874 and 29883?

Greatest common factor (GCF) of 29874 and 29883 is 3.

GCF(29874,29883) = 3

We will now calculate the prime factors of 29874 and 29883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29874 and 29883.

How to find the GCF of 29874 and 29883?

We will first find the prime factorization of 29874 and 29883. After we will calculate the factors of 29874 and 29883 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 29883

Prime factors of 29883 are 3, 7, 1423. Prime factorization of 29883 in exponential form is:

29883 = 3¹ × 7¹ × 1423¹

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 29883

List of positive integer factors of 29883 that divides 29874 without a remainder.

1, 3, 7, 21, 1423, 4269, 9961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29874 and 29883. The biggest common factor number is the GCF number.
So the greatest common factor 29874 and 29883 is 3.

Also check out the Least Common Multiple of 29874 and 29883