What is the Greatest Common Factor of 40775 and 40789?

Greatest common factor (GCF) of 40775 and 40789 is 7.

GCF(40775,40789) = 7

We will now calculate the prime factors of 40775 and 40789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40775 and 40789.

How to find the GCF of 40775 and 40789?

We will first find the prime factorization of 40775 and 40789. After we will calculate the factors of 40775 and 40789 and find the biggest common factor number .

Step-1: Prime Factorization of 40775

Prime factors of 40775 are 5, 7, 233. Prime factorization of 40775 in exponential form is:

40775 = 5² × 7¹ × 233¹

Step-2: Prime Factorization of 40789

Prime factors of 40789 are 7, 5827. Prime factorization of 40789 in exponential form is:

40789 = 7¹ × 5827¹

Step-3: Factors of 40775

List of positive integer factors of 40775 that divides 40775 without a remainder.

1, 5, 7, 25, 35, 175, 233, 1165, 1631, 5825, 8155

Step-4: Factors of 40789

List of positive integer factors of 40789 that divides 40775 without a remainder.

1, 7, 5827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40775 and 40789. The biggest common factor number is the GCF number.
So the greatest common factor 40775 and 40789 is 7.

Also check out the Least Common Multiple of 40775 and 40789