What is the Greatest Common Factor of 40523 and 40529?

Greatest common factor (GCF) of 40523 and 40529 is 1.

GCF(40523,40529) = 1

We will now calculate the prime factors of 40523 and 40529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40523 and 40529.

How to find the GCF of 40523 and 40529?

We will first find the prime factorization of 40523 and 40529. After we will calculate the factors of 40523 and 40529 and find the biggest common factor number .

Step-1: Prime Factorization of 40523

Prime factors of 40523 are 7, 827. Prime factorization of 40523 in exponential form is:

40523 = 7² × 827¹

Step-2: Prime Factorization of 40529

Prime factors of 40529 are 40529. Prime factorization of 40529 in exponential form is:

40529 = 40529¹

Step-3: Factors of 40523

List of positive integer factors of 40523 that divides 40523 without a remainder.

1, 7, 49, 827, 5789

Step-4: Factors of 40529

List of positive integer factors of 40529 that divides 40523 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40523 and 40529. The biggest common factor number is the GCF number.
So the greatest common factor 40523 and 40529 is 1.

Also check out the Least Common Multiple of 40523 and 40529