What is the Greatest Common Factor of 80600 and 80614?

Greatest common factor (GCF) of 80600 and 80614 is 2.

GCF(80600,80614) = 2

We will now calculate the prime factors of 80600 and 80614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80600 and 80614.

How to find the GCF of 80600 and 80614?

We will first find the prime factorization of 80600 and 80614. After we will calculate the factors of 80600 and 80614 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 80614

Prime factors of 80614 are 2, 17, 2371. Prime factorization of 80614 in exponential form is:

80614 = 2¹ × 17¹ × 2371¹

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 80614

List of positive integer factors of 80614 that divides 80600 without a remainder.

1, 2, 17, 34, 2371, 4742, 40307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80600 and 80614. The biggest common factor number is the GCF number.
So the greatest common factor 80600 and 80614 is 2.

Also check out the Least Common Multiple of 80600 and 80614