What is the Greatest Common Factor of 40761 and 40775?

Greatest common factor (GCF) of 40761 and 40775 is 7.

GCF(40761,40775) = 7

We will now calculate the prime factors of 40761 and 40775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40761 and 40775.

How to find the GCF of 40761 and 40775?

We will first find the prime factorization of 40761 and 40775. After we will calculate the factors of 40761 and 40775 and find the biggest common factor number .

Step-1: Prime Factorization of 40761

Prime factors of 40761 are 3, 7, 647. Prime factorization of 40761 in exponential form is:

40761 = 3² × 7¹ × 647¹

Step-2: 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-3: Factors of 40761

List of positive integer factors of 40761 that divides 40761 without a remainder.

1, 3, 7, 9, 21, 63, 647, 1941, 4529, 5823, 13587

Step-4: Factors of 40775

List of positive integer factors of 40775 that divides 40761 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40761 and 40775. The biggest common factor number is the GCF number.
So the greatest common factor 40761 and 40775 is 7.

Also check out the Least Common Multiple of 40761 and 40775