What is the Greatest Common Factor of 40360 and 40370?

Greatest common factor (GCF) of 40360 and 40370 is 10.

GCF(40360,40370) = 10

We will now calculate the prime factors of 40360 and 40370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40360 and 40370.

How to find the GCF of 40360 and 40370?

We will first find the prime factorization of 40360 and 40370. After we will calculate the factors of 40360 and 40370 and find the biggest common factor number .

Step-1: Prime Factorization of 40360

Prime factors of 40360 are 2, 5, 1009. Prime factorization of 40360 in exponential form is:

40360 = 2³ × 5¹ × 1009¹

Step-2: Prime Factorization of 40370

Prime factors of 40370 are 2, 5, 11, 367. Prime factorization of 40370 in exponential form is:

40370 = 2¹ × 5¹ × 11¹ × 367¹

Step-3: Factors of 40360

List of positive integer factors of 40360 that divides 40360 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1009, 2018, 4036, 5045, 8072, 10090, 20180

Step-4: Factors of 40370

List of positive integer factors of 40370 that divides 40360 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 367, 734, 1835, 3670, 4037, 8074, 20185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40360 and 40370. The biggest common factor number is the GCF number.
So the greatest common factor 40360 and 40370 is 10.

Also check out the Least Common Multiple of 40360 and 40370