What is the Greatest Common Factor of 29858 and 29876?

Greatest common factor (GCF) of 29858 and 29876 is 2.

GCF(29858,29876) = 2

We will now calculate the prime factors of 29858 and 29876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29858 and 29876.

How to find the GCF of 29858 and 29876?

We will first find the prime factorization of 29858 and 29876. After we will calculate the factors of 29858 and 29876 and find the biggest common factor number .

Step-1: Prime Factorization of 29858

Prime factors of 29858 are 2, 14929. Prime factorization of 29858 in exponential form is:

29858 = 2¹ × 14929¹

Step-2: Prime Factorization of 29876

Prime factors of 29876 are 2, 7, 11, 97. Prime factorization of 29876 in exponential form is:

29876 = 2² × 7¹ × 11¹ × 97¹

Step-3: Factors of 29858

List of positive integer factors of 29858 that divides 29858 without a remainder.

1, 2, 14929

Step-4: Factors of 29876

List of positive integer factors of 29876 that divides 29858 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 97, 154, 194, 308, 388, 679, 1067, 1358, 2134, 2716, 4268, 7469, 14938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29858 and 29876. The biggest common factor number is the GCF number.
So the greatest common factor 29858 and 29876 is 2.

Also check out the Least Common Multiple of 29858 and 29876