What is the Greatest Common Factor of 40869 and 40888?

Greatest common factor (GCF) of 40869 and 40888 is 19.

GCF(40869,40888) = 19

We will now calculate the prime factors of 40869 and 40888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40869 and 40888.

How to find the GCF of 40869 and 40888?

We will first find the prime factorization of 40869 and 40888. After we will calculate the factors of 40869 and 40888 and find the biggest common factor number .

Step-1: Prime Factorization of 40869

Prime factors of 40869 are 3, 19, 239. Prime factorization of 40869 in exponential form is:

40869 = 3² × 19¹ × 239¹

Step-2: Prime Factorization of 40888

Prime factors of 40888 are 2, 19, 269. Prime factorization of 40888 in exponential form is:

40888 = 2³ × 19¹ × 269¹

Step-3: Factors of 40869

List of positive integer factors of 40869 that divides 40869 without a remainder.

1, 3, 9, 19, 57, 171, 239, 717, 2151, 4541, 13623

Step-4: Factors of 40888

List of positive integer factors of 40888 that divides 40869 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 269, 538, 1076, 2152, 5111, 10222, 20444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40869 and 40888. The biggest common factor number is the GCF number.
So the greatest common factor 40869 and 40888 is 19.

Also check out the Least Common Multiple of 40869 and 40888