What is the Greatest Common Factor of 80578 and 80597?

Greatest common factor (GCF) of 80578 and 80597 is 1.

GCF(80578,80597) = 1

We will now calculate the prime factors of 80578 and 80597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80578 and 80597.

How to find the GCF of 80578 and 80597?

We will first find the prime factorization of 80578 and 80597. After we will calculate the factors of 80578 and 80597 and find the biggest common factor number .

Step-1: Prime Factorization of 80578

Prime factors of 80578 are 2, 40289. Prime factorization of 80578 in exponential form is:

80578 = 2¹ × 40289¹

Step-2: Prime Factorization of 80597

Prime factors of 80597 are 11, 17, 431. Prime factorization of 80597 in exponential form is:

80597 = 11¹ × 17¹ × 431¹

Step-3: Factors of 80578

List of positive integer factors of 80578 that divides 80578 without a remainder.

1, 2, 40289

Step-4: Factors of 80597

List of positive integer factors of 80597 that divides 80578 without a remainder.

1, 11, 17, 187, 431, 4741, 7327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80578 and 80597. The biggest common factor number is the GCF number.
So the greatest common factor 80578 and 80597 is 1.

Also check out the Least Common Multiple of 80578 and 80597