What is the Greatest Common Factor of 40864 and 40872?

Greatest common factor (GCF) of 40864 and 40872 is 8.

GCF(40864,40872) = 8

We will now calculate the prime factors of 40864 and 40872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40864 and 40872.

How to find the GCF of 40864 and 40872?

We will first find the prime factorization of 40864 and 40872. After we will calculate the factors of 40864 and 40872 and find the biggest common factor number .

Step-1: Prime Factorization of 40864

Prime factors of 40864 are 2, 1277. Prime factorization of 40864 in exponential form is:

40864 = 2⁵ × 1277¹

Step-2: Prime Factorization of 40872

Prime factors of 40872 are 2, 3, 13, 131. Prime factorization of 40872 in exponential form is:

40872 = 2³ × 3¹ × 13¹ × 131¹

Step-3: Factors of 40864

List of positive integer factors of 40864 that divides 40864 without a remainder.

1, 2, 4, 8, 16, 32, 1277, 2554, 5108, 10216, 20432

Step-4: Factors of 40872

List of positive integer factors of 40872 that divides 40864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 131, 156, 262, 312, 393, 524, 786, 1048, 1572, 1703, 3144, 3406, 5109, 6812, 10218, 13624, 20436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40864 and 40872. The biggest common factor number is the GCF number.
So the greatest common factor 40864 and 40872 is 8.

Also check out the Least Common Multiple of 40864 and 40872