What is the Greatest Common Factor of 80214 and 80234?

Greatest common factor (GCF) of 80214 and 80234 is 2.

GCF(80214,80234) = 2

We will now calculate the prime factors of 80214 and 80234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80214 and 80234.

How to find the GCF of 80214 and 80234?

We will first find the prime factorization of 80214 and 80234. After we will calculate the factors of 80214 and 80234 and find the biggest common factor number .

Step-1: Prime Factorization of 80214

Prime factors of 80214 are 2, 3, 29, 461. Prime factorization of 80214 in exponential form is:

80214 = 2¹ × 3¹ × 29¹ × 461¹

Step-2: Prime Factorization of 80234

Prime factors of 80234 are 2, 7, 11, 521. Prime factorization of 80234 in exponential form is:

80234 = 2¹ × 7¹ × 11¹ × 521¹

Step-3: Factors of 80214

List of positive integer factors of 80214 that divides 80214 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 461, 922, 1383, 2766, 13369, 26738, 40107

Step-4: Factors of 80234

List of positive integer factors of 80234 that divides 80214 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 521, 1042, 3647, 5731, 7294, 11462, 40117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80214 and 80234. The biggest common factor number is the GCF number.
So the greatest common factor 80214 and 80234 is 2.

Also check out the Least Common Multiple of 80214 and 80234