What is the Greatest Common Factor of 80500 and 80510?

Greatest common factor (GCF) of 80500 and 80510 is 10.

GCF(80500,80510) = 10

We will now calculate the prime factors of 80500 and 80510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80500 and 80510.

How to find the GCF of 80500 and 80510?

We will first find the prime factorization of 80500 and 80510. After we will calculate the factors of 80500 and 80510 and find the biggest common factor number .

Step-1: Prime Factorization of 80500

Prime factors of 80500 are 2, 5, 7, 23. Prime factorization of 80500 in exponential form is:

80500 = 2² × 5³ × 7¹ × 23¹

Step-2: Prime Factorization of 80510

Prime factors of 80510 are 2, 5, 83, 97. Prime factorization of 80510 in exponential form is:

80510 = 2¹ × 5¹ × 83¹ × 97¹

Step-3: Factors of 80500

List of positive integer factors of 80500 that divides 80500 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 23, 25, 28, 35, 46, 50, 70, 92, 100, 115, 125, 140, 161, 175, 230, 250, 322, 350, 460, 500, 575, 644, 700, 805, 875, 1150, 1610, 1750, 2300, 2875, 3220, 3500, 4025, 5750, 8050, 11500, 16100, 20125, 40250

Step-4: Factors of 80510

List of positive integer factors of 80510 that divides 80500 without a remainder.

1, 2, 5, 10, 83, 97, 166, 194, 415, 485, 830, 970, 8051, 16102, 40255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80500 and 80510. The biggest common factor number is the GCF number.
So the greatest common factor 80500 and 80510 is 10.

Also check out the Least Common Multiple of 80500 and 80510