What is the Greatest Common Factor of 40457 and 40465?

Greatest common factor (GCF) of 40457 and 40465 is 1.

GCF(40457,40465) = 1

We will now calculate the prime factors of 40457 and 40465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40457 and 40465.

How to find the GCF of 40457 and 40465?

We will first find the prime factorization of 40457 and 40465. After we will calculate the factors of 40457 and 40465 and find the biggest common factor number .

Step-1: Prime Factorization of 40457

Prime factors of 40457 are 23, 1759. Prime factorization of 40457 in exponential form is:

40457 = 23¹ × 1759¹

Step-2: Prime Factorization of 40465

Prime factors of 40465 are 5, 8093. Prime factorization of 40465 in exponential form is:

40465 = 5¹ × 8093¹

Step-3: Factors of 40457

List of positive integer factors of 40457 that divides 40457 without a remainder.

1, 23, 1759

Step-4: Factors of 40465

List of positive integer factors of 40465 that divides 40457 without a remainder.

1, 5, 8093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40457 and 40465. The biggest common factor number is the GCF number.
So the greatest common factor 40457 and 40465 is 1.

Also check out the Least Common Multiple of 40457 and 40465