What is the Greatest Common Factor of 80214 and 80230?

Greatest common factor (GCF) of 80214 and 80230 is 2.

GCF(80214,80230) = 2

We will now calculate the prime factors of 80214 and 80230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80214 and 80230.

How to find the GCF of 80214 and 80230?

We will first find the prime factorization of 80214 and 80230. After we will calculate the factors of 80214 and 80230 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 80230

Prime factors of 80230 are 2, 5, 71, 113. Prime factorization of 80230 in exponential form is:

80230 = 2¹ × 5¹ × 71¹ × 113¹

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 80230

List of positive integer factors of 80230 that divides 80214 without a remainder.

1, 2, 5, 10, 71, 113, 142, 226, 355, 565, 710, 1130, 8023, 16046, 40115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80214 and 80230. The biggest common factor number is the GCF number.
So the greatest common factor 80214 and 80230 is 2.

Also check out the Least Common Multiple of 80214 and 80230