What is the Greatest Common Factor of 40975 and 40990?

Greatest common factor (GCF) of 40975 and 40990 is 5.

GCF(40975,40990) = 5

We will now calculate the prime factors of 40975 and 40990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40975 and 40990.

How to find the GCF of 40975 and 40990?

We will first find the prime factorization of 40975 and 40990. After we will calculate the factors of 40975 and 40990 and find the biggest common factor number .

Step-1: Prime Factorization of 40975

Prime factors of 40975 are 5, 11, 149. Prime factorization of 40975 in exponential form is:

40975 = 5² × 11¹ × 149¹

Step-2: Prime Factorization of 40990

Prime factors of 40990 are 2, 5, 4099. Prime factorization of 40990 in exponential form is:

40990 = 2¹ × 5¹ × 4099¹

Step-3: Factors of 40975

List of positive integer factors of 40975 that divides 40975 without a remainder.

1, 5, 11, 25, 55, 149, 275, 745, 1639, 3725, 8195

Step-4: Factors of 40990

List of positive integer factors of 40990 that divides 40975 without a remainder.

1, 2, 5, 10, 4099, 8198, 20495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40975 and 40990. The biggest common factor number is the GCF number.
So the greatest common factor 40975 and 40990 is 5.

Also check out the Least Common Multiple of 40975 and 40990