What is the Greatest Common Factor of 40896 and 40900?

Greatest common factor (GCF) of 40896 and 40900 is 4.

GCF(40896,40900) = 4

We will now calculate the prime factors of 40896 and 40900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40896 and 40900.

How to find the GCF of 40896 and 40900?

We will first find the prime factorization of 40896 and 40900. After we will calculate the factors of 40896 and 40900 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40900

Prime factors of 40900 are 2, 5, 409. Prime factorization of 40900 in exponential form is:

40900 = 2² × 5² × 409¹

Step-3: Factors of 40896

List of positive integer factors of 40896 that divides 40896 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

Step-4: Factors of 40900

List of positive integer factors of 40900 that divides 40896 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 409, 818, 1636, 2045, 4090, 8180, 10225, 20450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40896 and 40900. The biggest common factor number is the GCF number.
So the greatest common factor 40896 and 40900 is 4.

Also check out the Least Common Multiple of 40896 and 40900