What is the Greatest Common Factor of 84280 and 84294?

Greatest common factor (GCF) of 84280 and 84294 is 14.

GCF(84280,84294) = 14

We will now calculate the prime factors of 84280 and 84294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84280 and 84294.

How to find the GCF of 84280 and 84294?

We will first find the prime factorization of 84280 and 84294. After we will calculate the factors of 84280 and 84294 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84294

Prime factors of 84294 are 2, 3, 7, 223. Prime factorization of 84294 in exponential form is:

84294 = 2¹ × 3³ × 7¹ × 223¹

Step-3: Factors of 84280

List of positive integer factors of 84280 that divides 84280 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

Step-4: Factors of 84294

List of positive integer factors of 84294 that divides 84280 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 223, 378, 446, 669, 1338, 1561, 2007, 3122, 4014, 4683, 6021, 9366, 12042, 14049, 28098, 42147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84280 and 84294. The biggest common factor number is the GCF number.
So the greatest common factor 84280 and 84294 is 14.

Also check out the Least Common Multiple of 84280 and 84294