What is the Greatest Common Factor of 74549 and 74569?

Greatest common factor (GCF) of 74549 and 74569 is 1.

GCF(74549,74569) = 1

We will now calculate the prime factors of 74549 and 74569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74549 and 74569.

How to find the GCF of 74549 and 74569?

We will first find the prime factorization of 74549 and 74569. After we will calculate the factors of 74549 and 74569 and find the biggest common factor number .

Step-1: Prime Factorization of 74549

Prime factors of 74549 are 127, 587. Prime factorization of 74549 in exponential form is:

74549 = 127¹ × 587¹

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 74549

List of positive integer factors of 74549 that divides 74549 without a remainder.

1, 127, 587

Step-4: Factors of 74569

List of positive integer factors of 74569 that divides 74549 without a remainder.

1, 11, 6779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74549 and 74569. The biggest common factor number is the GCF number.
So the greatest common factor 74549 and 74569 is 1.

Also check out the Least Common Multiple of 74549 and 74569