What is the Greatest Common Factor of 29887 and 29906?

Greatest common factor (GCF) of 29887 and 29906 is 19.

GCF(29887,29906) = 19

We will now calculate the prime factors of 29887 and 29906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29887 and 29906.

How to find the GCF of 29887 and 29906?

We will first find the prime factorization of 29887 and 29906. After we will calculate the factors of 29887 and 29906 and find the biggest common factor number .

Step-1: Prime Factorization of 29887

Prime factors of 29887 are 11, 13, 19. Prime factorization of 29887 in exponential form is:

29887 = 11² × 13¹ × 19¹

Step-2: Prime Factorization of 29906

Prime factors of 29906 are 2, 19, 787. Prime factorization of 29906 in exponential form is:

29906 = 2¹ × 19¹ × 787¹

Step-3: Factors of 29887

List of positive integer factors of 29887 that divides 29887 without a remainder.

1, 11, 13, 19, 121, 143, 209, 247, 1573, 2299, 2717

Step-4: Factors of 29906

List of positive integer factors of 29906 that divides 29887 without a remainder.

1, 2, 19, 38, 787, 1574, 14953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29887 and 29906. The biggest common factor number is the GCF number.
So the greatest common factor 29887 and 29906 is 19.

Also check out the Least Common Multiple of 29887 and 29906