What is the Greatest Common Factor of 40375 and 40380?

Greatest common factor (GCF) of 40375 and 40380 is 5.

GCF(40375,40380) = 5

We will now calculate the prime factors of 40375 and 40380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40375 and 40380.

How to find the GCF of 40375 and 40380?

We will first find the prime factorization of 40375 and 40380. After we will calculate the factors of 40375 and 40380 and find the biggest common factor number .

Step-1: Prime Factorization of 40375

Prime factors of 40375 are 5, 17, 19. Prime factorization of 40375 in exponential form is:

40375 = 5³ × 17¹ × 19¹

Step-2: 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-3: Factors of 40375

List of positive integer factors of 40375 that divides 40375 without a remainder.

1, 5, 17, 19, 25, 85, 95, 125, 323, 425, 475, 1615, 2125, 2375, 8075

Step-4: Factors of 40380

List of positive integer factors of 40380 that divides 40375 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40375 and 40380. The biggest common factor number is the GCF number.
So the greatest common factor 40375 and 40380 is 5.

Also check out the Least Common Multiple of 40375 and 40380