What is the Greatest Common Factor of 80590 and 80600?

Greatest common factor (GCF) of 80590 and 80600 is 10.

GCF(80590,80600) = 10

We will now calculate the prime factors of 80590 and 80600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80590 and 80600.

How to find the GCF of 80590 and 80600?

We will first find the prime factorization of 80590 and 80600. After we will calculate the factors of 80590 and 80600 and find the biggest common factor number .

Step-1: Prime Factorization of 80590

Prime factors of 80590 are 2, 5, 8059. Prime factorization of 80590 in exponential form is:

80590 = 2¹ × 5¹ × 8059¹

Step-2: 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-3: Factors of 80590

List of positive integer factors of 80590 that divides 80590 without a remainder.

1, 2, 5, 10, 8059, 16118, 40295

Step-4: Factors of 80600

List of positive integer factors of 80600 that divides 80590 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80590 and 80600. The biggest common factor number is the GCF number.
So the greatest common factor 80590 and 80600 is 10.

Also check out the Least Common Multiple of 80590 and 80600