What is the Greatest Common Factor of 41764 and 41775?

Greatest common factor (GCF) of 41764 and 41775 is 1.

GCF(41764,41775) = 1

We will now calculate the prime factors of 41764 and 41775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41764 and 41775.

How to find the GCF of 41764 and 41775?

We will first find the prime factorization of 41764 and 41775. After we will calculate the factors of 41764 and 41775 and find the biggest common factor number .

Step-1: Prime Factorization of 41764

Prime factors of 41764 are 2, 53, 197. Prime factorization of 41764 in exponential form is:

41764 = 2² × 53¹ × 197¹

Step-2: Prime Factorization of 41775

Prime factors of 41775 are 3, 5, 557. Prime factorization of 41775 in exponential form is:

41775 = 3¹ × 5² × 557¹

Step-3: Factors of 41764

List of positive integer factors of 41764 that divides 41764 without a remainder.

1, 2, 4, 53, 106, 197, 212, 394, 788, 10441, 20882

Step-4: Factors of 41775

List of positive integer factors of 41775 that divides 41764 without a remainder.

1, 3, 5, 15, 25, 75, 557, 1671, 2785, 8355, 13925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41764 and 41775. The biggest common factor number is the GCF number.
So the greatest common factor 41764 and 41775 is 1.

Also check out the Least Common Multiple of 41764 and 41775