What is the Greatest Common Factor of 29838 and 29858?

Greatest common factor (GCF) of 29838 and 29858 is 2.

GCF(29838,29858) = 2

We will now calculate the prime factors of 29838 and 29858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29838 and 29858.

How to find the GCF of 29838 and 29858?

We will first find the prime factorization of 29838 and 29858. After we will calculate the factors of 29838 and 29858 and find the biggest common factor number .

Step-1: Prime Factorization of 29838

Prime factors of 29838 are 2, 3, 4973. Prime factorization of 29838 in exponential form is:

29838 = 2¹ × 3¹ × 4973¹

Step-2: Prime Factorization of 29858

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

29858 = 2¹ × 14929¹

Step-3: Factors of 29838

List of positive integer factors of 29838 that divides 29838 without a remainder.

1, 2, 3, 6, 4973, 9946, 14919

Step-4: Factors of 29858

List of positive integer factors of 29858 that divides 29838 without a remainder.

1, 2, 14929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29838 and 29858. The biggest common factor number is the GCF number.
So the greatest common factor 29838 and 29858 is 2.

Also check out the Least Common Multiple of 29838 and 29858