What is the Greatest Common Factor of 80200 and 80210?

Greatest common factor (GCF) of 80200 and 80210 is 10.

GCF(80200,80210) = 10

We will now calculate the prime factors of 80200 and 80210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80200 and 80210.

How to find the GCF of 80200 and 80210?

We will first find the prime factorization of 80200 and 80210. After we will calculate the factors of 80200 and 80210 and find the biggest common factor number .

Step-1: Prime Factorization of 80200

Prime factors of 80200 are 2, 5, 401. Prime factorization of 80200 in exponential form is:

80200 = 2³ × 5² × 401¹

Step-2: Prime Factorization of 80210

Prime factors of 80210 are 2, 5, 13, 617. Prime factorization of 80210 in exponential form is:

80210 = 2¹ × 5¹ × 13¹ × 617¹

Step-3: Factors of 80200

List of positive integer factors of 80200 that divides 80200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 401, 802, 1604, 2005, 3208, 4010, 8020, 10025, 16040, 20050, 40100

Step-4: Factors of 80210

List of positive integer factors of 80210 that divides 80200 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 617, 1234, 3085, 6170, 8021, 16042, 40105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80200 and 80210. The biggest common factor number is the GCF number.
So the greatest common factor 80200 and 80210 is 10.

Also check out the Least Common Multiple of 80200 and 80210