What is the Greatest Common Factor of 84280 and 84292?

Greatest common factor (GCF) of 84280 and 84292 is 4.

GCF(84280,84292) = 4

We will now calculate the prime factors of 84280 and 84292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84280 and 84292.

How to find the GCF of 84280 and 84292?

We will first find the prime factorization of 84280 and 84292. After we will calculate the factors of 84280 and 84292 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 84292

Prime factors of 84292 are 2, 13, 1621. Prime factorization of 84292 in exponential form is:

84292 = 2² × 13¹ × 1621¹

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 84292

List of positive integer factors of 84292 that divides 84280 without a remainder.

1, 2, 4, 13, 26, 52, 1621, 3242, 6484, 21073, 42146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84280 and 84292. The biggest common factor number is the GCF number.
So the greatest common factor 84280 and 84292 is 4.

Also check out the Least Common Multiple of 84280 and 84292