What is the Greatest Common Factor of 29870 and 29882?

Greatest common factor (GCF) of 29870 and 29882 is 2.

GCF(29870,29882) = 2

We will now calculate the prime factors of 29870 and 29882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29870 and 29882.

How to find the GCF of 29870 and 29882?

We will first find the prime factorization of 29870 and 29882. After we will calculate the factors of 29870 and 29882 and find the biggest common factor number .

Step-1: Prime Factorization of 29870

Prime factors of 29870 are 2, 5, 29, 103. Prime factorization of 29870 in exponential form is:

29870 = 2¹ × 5¹ × 29¹ × 103¹

Step-2: Prime Factorization of 29882

Prime factors of 29882 are 2, 67, 223. Prime factorization of 29882 in exponential form is:

29882 = 2¹ × 67¹ × 223¹

Step-3: Factors of 29870

List of positive integer factors of 29870 that divides 29870 without a remainder.

1, 2, 5, 10, 29, 58, 103, 145, 206, 290, 515, 1030, 2987, 5974, 14935

Step-4: Factors of 29882

List of positive integer factors of 29882 that divides 29870 without a remainder.

1, 2, 67, 134, 223, 446, 14941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29870 and 29882. The biggest common factor number is the GCF number.
So the greatest common factor 29870 and 29882 is 2.

Also check out the Least Common Multiple of 29870 and 29882