What is the Greatest Common Factor of 80600 and 80609?

Greatest common factor (GCF) of 80600 and 80609 is 1.

GCF(80600,80609) = 1

We will now calculate the prime factors of 80600 and 80609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80600 and 80609.

How to find the GCF of 80600 and 80609?

We will first find the prime factorization of 80600 and 80609. After we will calculate the factors of 80600 and 80609 and find the biggest common factor number .

Step-1: Prime Factorization of 80600

Prime factors of 80600 are 2, 5, 13, 31. Prime factorization of 80600 in exponential form is:

80600 = 2³ × 5² × 13¹ × 31¹

Step-2: Prime Factorization of 80609

Prime factors of 80609 are 149, 541. Prime factorization of 80609 in exponential form is:

80609 = 149¹ × 541¹

Step-3: Factors of 80600

List of positive integer factors of 80600 that divides 80600 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 31, 40, 50, 52, 62, 65, 100, 104, 124, 130, 155, 200, 248, 260, 310, 325, 403, 520, 620, 650, 775, 806, 1240, 1300, 1550, 1612, 2015, 2600, 3100, 3224, 4030, 6200, 8060, 10075, 16120, 20150, 40300

Step-4: Factors of 80609

List of positive integer factors of 80609 that divides 80600 without a remainder.

1, 149, 541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80600 and 80609. The biggest common factor number is the GCF number.
So the greatest common factor 80600 and 80609 is 1.

Also check out the Least Common Multiple of 80600 and 80609