What is the Greatest Common Factor of 40870 and 40885?

Greatest common factor (GCF) of 40870 and 40885 is 5.

GCF(40870,40885) = 5

We will now calculate the prime factors of 40870 and 40885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40870 and 40885.

How to find the GCF of 40870 and 40885?

We will first find the prime factorization of 40870 and 40885. After we will calculate the factors of 40870 and 40885 and find the biggest common factor number .

Step-1: Prime Factorization of 40870

Prime factors of 40870 are 2, 5, 61, 67. Prime factorization of 40870 in exponential form is:

40870 = 2¹ × 5¹ × 61¹ × 67¹

Step-2: Prime Factorization of 40885

Prime factors of 40885 are 5, 13, 17, 37. Prime factorization of 40885 in exponential form is:

40885 = 5¹ × 13¹ × 17¹ × 37¹

Step-3: Factors of 40870

List of positive integer factors of 40870 that divides 40870 without a remainder.

1, 2, 5, 10, 61, 67, 122, 134, 305, 335, 610, 670, 4087, 8174, 20435

Step-4: Factors of 40885

List of positive integer factors of 40885 that divides 40870 without a remainder.

1, 5, 13, 17, 37, 65, 85, 185, 221, 481, 629, 1105, 2405, 3145, 8177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40870 and 40885. The biggest common factor number is the GCF number.
So the greatest common factor 40870 and 40885 is 5.

Also check out the Least Common Multiple of 40870 and 40885