What is the Greatest Common Factor of 40859 and 40872?

Greatest common factor (GCF) of 40859 and 40872 is 13.

GCF(40859,40872) = 13

We will now calculate the prime factors of 40859 and 40872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40859 and 40872.

How to find the GCF of 40859 and 40872?

We will first find the prime factorization of 40859 and 40872. After we will calculate the factors of 40859 and 40872 and find the biggest common factor number .

Step-1: Prime Factorization of 40859

Prime factors of 40859 are 7, 13, 449. Prime factorization of 40859 in exponential form is:

40859 = 7¹ × 13¹ × 449¹

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 40859

List of positive integer factors of 40859 that divides 40859 without a remainder.

1, 7, 13, 91, 449, 3143, 5837

Step-4: Factors of 40872

List of positive integer factors of 40872 that divides 40859 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 40859 and 40872. The biggest common factor number is the GCF number.
So the greatest common factor 40859 and 40872 is 13.

Also check out the Least Common Multiple of 40859 and 40872