What is the Greatest Common Factor of 98212 and 98226?

Greatest common factor (GCF) of 98212 and 98226 is 2.

GCF(98212,98226) = 2

We will now calculate the prime factors of 98212 and 98226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98212 and 98226.

How to find the GCF of 98212 and 98226?

We will first find the prime factorization of 98212 and 98226. After we will calculate the factors of 98212 and 98226 and find the biggest common factor number .

Step-1: Prime Factorization of 98212

Prime factors of 98212 are 2, 43, 571. Prime factorization of 98212 in exponential form is:

98212 = 2² × 43¹ × 571¹

Step-2: Prime Factorization of 98226

Prime factors of 98226 are 2, 3, 17, 107. Prime factorization of 98226 in exponential form is:

98226 = 2¹ × 3³ × 17¹ × 107¹

Step-3: Factors of 98212

List of positive integer factors of 98212 that divides 98212 without a remainder.

1, 2, 4, 43, 86, 172, 571, 1142, 2284, 24553, 49106

Step-4: Factors of 98226

List of positive integer factors of 98226 that divides 98212 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 107, 153, 214, 306, 321, 459, 642, 918, 963, 1819, 1926, 2889, 3638, 5457, 5778, 10914, 16371, 32742, 49113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98212 and 98226. The biggest common factor number is the GCF number.
So the greatest common factor 98212 and 98226 is 2.

Also check out the Least Common Multiple of 98212 and 98226