What is the Greatest Common Factor of 40380 and 40390?

Greatest common factor (GCF) of 40380 and 40390 is 10.

GCF(40380,40390) = 10

We will now calculate the prime factors of 40380 and 40390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40380 and 40390.

How to find the GCF of 40380 and 40390?

We will first find the prime factorization of 40380 and 40390. After we will calculate the factors of 40380 and 40390 and find the biggest common factor number .

Step-1: Prime Factorization of 40380

Prime factors of 40380 are 2, 3, 5, 673. Prime factorization of 40380 in exponential form is:

40380 = 2² × 3¹ × 5¹ × 673¹

Step-2: Prime Factorization of 40390

Prime factors of 40390 are 2, 5, 7, 577. Prime factorization of 40390 in exponential form is:

40390 = 2¹ × 5¹ × 7¹ × 577¹

Step-3: Factors of 40380

List of positive integer factors of 40380 that divides 40380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 673, 1346, 2019, 2692, 3365, 4038, 6730, 8076, 10095, 13460, 20190

Step-4: Factors of 40390

List of positive integer factors of 40390 that divides 40380 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 577, 1154, 2885, 4039, 5770, 8078, 20195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40380 and 40390. The biggest common factor number is the GCF number.
So the greatest common factor 40380 and 40390 is 10.

Also check out the Least Common Multiple of 40380 and 40390