What is the Greatest Common Factor of 80194 and 80210?

Greatest common factor (GCF) of 80194 and 80210 is 2.

GCF(80194,80210) = 2

We will now calculate the prime factors of 80194 and 80210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80194 and 80210.

How to find the GCF of 80194 and 80210?

We will first find the prime factorization of 80194 and 80210. After we will calculate the factors of 80194 and 80210 and find the biggest common factor number .

Step-1: Prime Factorization of 80194

Prime factors of 80194 are 2, 101, 397. Prime factorization of 80194 in exponential form is:

80194 = 2¹ × 101¹ × 397¹

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 80194

List of positive integer factors of 80194 that divides 80194 without a remainder.

1, 2, 101, 202, 397, 794, 40097

Step-4: Factors of 80210

List of positive integer factors of 80210 that divides 80194 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 80194 and 80210. The biggest common factor number is the GCF number.
So the greatest common factor 80194 and 80210 is 2.

Also check out the Least Common Multiple of 80194 and 80210