What is the Greatest Common Factor of 84266 and 84280?

Greatest common factor (GCF) of 84266 and 84280 is 14.

GCF(84266,84280) = 14

We will now calculate the prime factors of 84266 and 84280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84266 and 84280.

How to find the GCF of 84266 and 84280?

We will first find the prime factorization of 84266 and 84280. After we will calculate the factors of 84266 and 84280 and find the biggest common factor number .

Step-1: Prime Factorization of 84266

Prime factors of 84266 are 2, 7, 13, 463. Prime factorization of 84266 in exponential form is:

84266 = 2¹ × 7¹ × 13¹ × 463¹

Step-2: Prime Factorization of 84280

Prime factors of 84280 are 2, 5, 7, 43. Prime factorization of 84280 in exponential form is:

84280 = 2³ × 5¹ × 7² × 43¹

Step-3: Factors of 84266

List of positive integer factors of 84266 that divides 84266 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 463, 926, 3241, 6019, 6482, 12038, 42133

Step-4: Factors of 84280

List of positive integer factors of 84280 that divides 84266 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 43, 49, 56, 70, 86, 98, 140, 172, 196, 215, 245, 280, 301, 344, 392, 430, 490, 602, 860, 980, 1204, 1505, 1720, 1960, 2107, 2408, 3010, 4214, 6020, 8428, 10535, 12040, 16856, 21070, 42140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84266 and 84280. The biggest common factor number is the GCF number.
So the greatest common factor 84266 and 84280 is 14.

Also check out the Least Common Multiple of 84266 and 84280