What is the Greatest Common Factor of 40370 and 40381?

Greatest common factor (GCF) of 40370 and 40381 is 11.

GCF(40370,40381) = 11

We will now calculate the prime factors of 40370 and 40381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40370 and 40381.

How to find the GCF of 40370 and 40381?

We will first find the prime factorization of 40370 and 40381. After we will calculate the factors of 40370 and 40381 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40381

Prime factors of 40381 are 11, 3671. Prime factorization of 40381 in exponential form is:

40381 = 11¹ × 3671¹

Step-3: Factors of 40370

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

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

Step-4: Factors of 40381

List of positive integer factors of 40381 that divides 40370 without a remainder.

1, 11, 3671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40370 and 40381. The biggest common factor number is the GCF number.
So the greatest common factor 40370 and 40381 is 11.

Also check out the Least Common Multiple of 40370 and 40381