What is the Greatest Common Factor of 40888 and 40896?

Greatest common factor (GCF) of 40888 and 40896 is 8.

GCF(40888,40896) = 8

We will now calculate the prime factors of 40888 and 40896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40888 and 40896.

How to find the GCF of 40888 and 40896?

We will first find the prime factorization of 40888 and 40896. After we will calculate the factors of 40888 and 40896 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40896

Prime factors of 40896 are 2, 3, 71. Prime factorization of 40896 in exponential form is:

40896 = 2⁶ × 3² × 71¹

Step-3: Factors of 40888

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

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

Step-4: Factors of 40896

List of positive integer factors of 40896 that divides 40888 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 71, 72, 96, 142, 144, 192, 213, 284, 288, 426, 568, 576, 639, 852, 1136, 1278, 1704, 2272, 2556, 3408, 4544, 5112, 6816, 10224, 13632, 20448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40888 and 40896. The biggest common factor number is the GCF number.
So the greatest common factor 40888 and 40896 is 8.

Also check out the Least Common Multiple of 40888 and 40896