What is the Greatest Common Factor of 45769 and 45775?

Greatest common factor (GCF) of 45769 and 45775 is 1.

GCF(45769,45775) = 1

We will now calculate the prime factors of 45769 and 45775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45769 and 45775.

How to find the GCF of 45769 and 45775?

We will first find the prime factorization of 45769 and 45775. After we will calculate the factors of 45769 and 45775 and find the biggest common factor number .

Step-1: Prime Factorization of 45769

Prime factors of 45769 are 37, 1237. Prime factorization of 45769 in exponential form is:

45769 = 37¹ × 1237¹

Step-2: Prime Factorization of 45775

Prime factors of 45775 are 5, 1831. Prime factorization of 45775 in exponential form is:

45775 = 5² × 1831¹

Step-3: Factors of 45769

List of positive integer factors of 45769 that divides 45769 without a remainder.

1, 37, 1237

Step-4: Factors of 45775

List of positive integer factors of 45775 that divides 45769 without a remainder.

1, 5, 25, 1831, 9155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45769 and 45775. The biggest common factor number is the GCF number.
So the greatest common factor 45769 and 45775 is 1.

Also check out the Least Common Multiple of 45769 and 45775