What is the Greatest Common Factor of 40460 and 40475?

Greatest common factor (GCF) of 40460 and 40475 is 5.

GCF(40460,40475) = 5

We will now calculate the prime factors of 40460 and 40475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40460 and 40475.

How to find the GCF of 40460 and 40475?

We will first find the prime factorization of 40460 and 40475. After we will calculate the factors of 40460 and 40475 and find the biggest common factor number .

Step-1: Prime Factorization of 40460

Prime factors of 40460 are 2, 5, 7, 17. Prime factorization of 40460 in exponential form is:

40460 = 2² × 5¹ × 7¹ × 17²

Step-2: Prime Factorization of 40475

Prime factors of 40475 are 5, 1619. Prime factorization of 40475 in exponential form is:

40475 = 5² × 1619¹

Step-3: Factors of 40460

List of positive integer factors of 40460 that divides 40460 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 289, 340, 476, 578, 595, 1156, 1190, 1445, 2023, 2380, 2890, 4046, 5780, 8092, 10115, 20230

Step-4: Factors of 40475

List of positive integer factors of 40475 that divides 40460 without a remainder.

1, 5, 25, 1619, 8095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40460 and 40475. The biggest common factor number is the GCF number.
So the greatest common factor 40460 and 40475 is 5.

Also check out the Least Common Multiple of 40460 and 40475