What is the Greatest Common Factor of 29868 and 29887?

Greatest common factor (GCF) of 29868 and 29887 is 19.

GCF(29868,29887) = 19

We will now calculate the prime factors of 29868 and 29887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29868 and 29887.

How to find the GCF of 29868 and 29887?

We will first find the prime factorization of 29868 and 29887. After we will calculate the factors of 29868 and 29887 and find the biggest common factor number .

Step-1: Prime Factorization of 29868

Prime factors of 29868 are 2, 3, 19, 131. Prime factorization of 29868 in exponential form is:

29868 = 2² × 3¹ × 19¹ × 131¹

Step-2: 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-3: Factors of 29868

List of positive integer factors of 29868 that divides 29868 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 131, 228, 262, 393, 524, 786, 1572, 2489, 4978, 7467, 9956, 14934

Step-4: Factors of 29887

List of positive integer factors of 29887 that divides 29868 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29868 and 29887. The biggest common factor number is the GCF number.
So the greatest common factor 29868 and 29887 is 19.

Also check out the Least Common Multiple of 29868 and 29887