What is the Greatest Common Factor of 80214 and 80224?

Greatest common factor (GCF) of 80214 and 80224 is 2.

GCF(80214,80224) = 2

We will now calculate the prime factors of 80214 and 80224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80214 and 80224.

How to find the GCF of 80214 and 80224?

We will first find the prime factorization of 80214 and 80224. After we will calculate the factors of 80214 and 80224 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 80224

Prime factors of 80224 are 2, 23, 109. Prime factorization of 80224 in exponential form is:

80224 = 2⁵ × 23¹ × 109¹

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 80224

List of positive integer factors of 80224 that divides 80214 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 109, 184, 218, 368, 436, 736, 872, 1744, 2507, 3488, 5014, 10028, 20056, 40112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80214 and 80224. The biggest common factor number is the GCF number.
So the greatest common factor 80214 and 80224 is 2.

Also check out the Least Common Multiple of 80214 and 80224