What is the Greatest Common Factor of 74561 and 74569?

Greatest common factor (GCF) of 74561 and 74569 is 1.

GCF(74561,74569) = 1

We will now calculate the prime factors of 74561 and 74569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74561 and 74569.

How to find the GCF of 74561 and 74569?

We will first find the prime factorization of 74561 and 74569. After we will calculate the factors of 74561 and 74569 and find the biggest common factor number .

Step-1: Prime Factorization of 74561

Prime factors of 74561 are 74561. Prime factorization of 74561 in exponential form is:

74561 = 74561¹

Step-2: Prime Factorization of 74569

Prime factors of 74569 are 11, 6779. Prime factorization of 74569 in exponential form is:

74569 = 11¹ × 6779¹

Step-3: Factors of 74561

List of positive integer factors of 74561 that divides 74561 without a remainder.

Step-4: Factors of 74569

List of positive integer factors of 74569 that divides 74561 without a remainder.

1, 11, 6779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74561 and 74569. The biggest common factor number is the GCF number.
So the greatest common factor 74561 and 74569 is 1.

Also check out the Least Common Multiple of 74561 and 74569