What is the Greatest Common Factor of 34577 and 34590?

Greatest common factor (GCF) of 34577 and 34590 is 1.

GCF(34577,34590) = 1

We will now calculate the prime factors of 34577 and 34590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34577 and 34590.

How to find the GCF of 34577 and 34590?

We will first find the prime factorization of 34577 and 34590. After we will calculate the factors of 34577 and 34590 and find the biggest common factor number .

Step-1: Prime Factorization of 34577

Prime factors of 34577 are 71, 487. Prime factorization of 34577 in exponential form is:

34577 = 71¹ × 487¹

Step-2: Prime Factorization of 34590

Prime factors of 34590 are 2, 3, 5, 1153. Prime factorization of 34590 in exponential form is:

34590 = 2¹ × 3¹ × 5¹ × 1153¹

Step-3: Factors of 34577

List of positive integer factors of 34577 that divides 34577 without a remainder.

1, 71, 487

Step-4: Factors of 34590

List of positive integer factors of 34590 that divides 34577 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1153, 2306, 3459, 5765, 6918, 11530, 17295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34577 and 34590. The biggest common factor number is the GCF number.
So the greatest common factor 34577 and 34590 is 1.

Also check out the Least Common Multiple of 34577 and 34590